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Finding the Fourth Proportional to 16,587, 22,909.50 and 10,988.28

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Solution

The fourth proportional to 16,587, 22,909.50 and 10,988.28 is: 15,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587 : 22,909.50 = 10,988.28 : x
  2. Step 2: Convert to fraction form
    16,587/22,909.50 = 10,988.28/x
  3. Step 3: Cross multiply
    16,587x = 22,909.50 × 10,988.28
  4. Step 4: Simplify right side
    16,587x = 251,736,000.66
  5. Step 5: Solve for x
    x = 251,736,000.66/16,587
  6. Step 6: Final answer
    x = 15,176.70

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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.