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Finding the Fourth Proportional to 1,352.02, 1,840.84 and 1,347.70

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Solution

The fourth proportional to 1,352.02, 1,840.84 and 1,347.70 is: 1,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.02 : 1,840.84 = 1,347.70 : x
  2. Step 2: Convert to fraction form
    1,352.02/1,840.84 = 1,347.70/x
  3. Step 3: Cross multiply
    1,352.02x = 1,840.84 × 1,347.70
  4. Step 4: Simplify right side
    1,352.02x = 2,480,900.07
  5. Step 5: Solve for x
    x = 2,480,900.07/1,352.02
  6. Step 6: Final answer
    x = 1,834.96

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Half scale
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Double scale
Find fourth proportional to 1,353.02, 1,842.20 and 1,348.70
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.