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Finding the Fourth Proportional to 15,332, 21,157.47 and 8,959.18

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Solution

The fourth proportional to 15,332, 21,157.47 and 8,959.18 is: 12,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,332 : 21,157.47 = 8,959.18 : x
  2. Step 2: Convert to fraction form
    15,332/21,157.47 = 8,959.18/x
  3. Step 3: Cross multiply
    15,332x = 21,157.47 × 8,959.18
  4. Step 4: Simplify right side
    15,332x = 189,553,582.07
  5. Step 5: Solve for x
    x = 189,553,582.07/15,332
  6. Step 6: Final answer
    x = 12,363.27

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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.