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Finding the Fourth Proportional to 15,758.78, 21,747 and 8,685.20

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Solution

The fourth proportional to 15,758.78, 21,747 and 8,685.20 is: 11,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.78 : 21,747 = 8,685.20 : x
  2. Step 2: Convert to fraction form
    15,758.78/21,747 = 8,685.20/x
  3. Step 3: Cross multiply
    15,758.78x = 21,747 × 8,685.20
  4. Step 4: Simplify right side
    15,758.78x = 188,877,044.40
  5. Step 5: Solve for x
    x = 188,877,044.40/15,758.78
  6. Step 6: Final answer
    x = 11,985.51

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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.