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Finding the Fourth Proportional to 1,352.76, 1,861.95 and 959.10

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Solution

The fourth proportional to 1,352.76, 1,861.95 and 959.10 is: 1,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.76 : 1,861.95 = 959.10 : x
  2. Step 2: Convert to fraction form
    1,352.76/1,861.95 = 959.10/x
  3. Step 3: Cross multiply
    1,352.76x = 1,861.95 × 959.10
  4. Step 4: Simplify right side
    1,352.76x = 1,785,796.25
  5. Step 5: Solve for x
    x = 1,785,796.25/1,352.76
  6. Step 6: Final answer
    x = 1,320.11

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.