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Finding the Fourth Proportional to 10,992, 15,168.51 and 6,454.07

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Solution

The fourth proportional to 10,992, 15,168.51 and 6,454.07 is: 8,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992 : 15,168.51 = 6,454.07 : x
  2. Step 2: Convert to fraction form
    10,992/15,168.51 = 6,454.07/x
  3. Step 3: Cross multiply
    10,992x = 15,168.51 × 6,454.07
  4. Step 4: Simplify right side
    10,992x = 97,898,549.49
  5. Step 5: Solve for x
    x = 97,898,549.49/10,992
  6. Step 6: Final answer
    x = 8,906.35

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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.