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Finding the Fourth Proportional to 1,651.69, 2,279.63 and 1,234.14

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Solution

The fourth proportional to 1,651.69, 2,279.63 and 1,234.14 is: 1,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.69 : 2,279.63 = 1,234.14 : x
  2. Step 2: Convert to fraction form
    1,651.69/2,279.63 = 1,234.14/x
  3. Step 3: Cross multiply
    1,651.69x = 2,279.63 × 1,234.14
  4. Step 4: Simplify right side
    1,651.69x = 2,813,382.57
  5. Step 5: Solve for x
    x = 2,813,382.57/1,651.69
  6. Step 6: Final answer
    x = 1,703.34

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Half scale
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Double scale
Find fourth proportional to 1,652.69, 2,281.01 and 1,235.14
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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.