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Finding the Fourth Proportional to 15,331, 21,156.78 and 8,707

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Solution

The fourth proportional to 15,331, 21,156.78 and 8,707 is: 12,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,331 : 21,156.78 = 8,707 : x
  2. Step 2: Convert to fraction form
    15,331/21,156.78 = 8,707/x
  3. Step 3: Cross multiply
    15,331x = 21,156.78 × 8,707
  4. Step 4: Simplify right side
    15,331x = 184,212,083.46
  5. Step 5: Solve for x
    x = 184,212,083.46/15,331
  6. Step 6: Final answer
    x = 12,015.66

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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.