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Finding the Fourth Proportional to 30,641.80, 42,284.10 and 17,213.62

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Solution

The fourth proportional to 30,641.80, 42,284.10 and 17,213.62 is: 23,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.80 : 42,284.10 = 17,213.62 : x
  2. Step 2: Convert to fraction form
    30,641.80/42,284.10 = 17,213.62/x
  3. Step 3: Cross multiply
    30,641.80x = 42,284.10 × 17,213.62
  4. Step 4: Simplify right side
    30,641.80x = 727,862,429.44
  5. Step 5: Solve for x
    x = 727,862,429.44/30,641.80
  6. Step 6: Final answer
    x = 23,753.91

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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.