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Finding the Fourth Proportional to 15,513.70, 21,412 and 9,224.86

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Solution

The fourth proportional to 15,513.70, 21,412 and 9,224.86 is: 12,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.70 : 21,412 = 9,224.86 : x
  2. Step 2: Convert to fraction form
    15,513.70/21,412 = 9,224.86/x
  3. Step 3: Cross multiply
    15,513.70x = 21,412 × 9,224.86
  4. Step 4: Simplify right side
    15,513.70x = 197,522,702.32
  5. Step 5: Solve for x
    x = 197,522,702.32/15,513.70
  6. Step 6: Final answer
    x = 12,732.15

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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.