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Finding the Fourth Proportional to 10,906.62, 15,051.76 and 6,433

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Solution

The fourth proportional to 10,906.62, 15,051.76 and 6,433 is: 8,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.62 : 15,051.76 = 6,433 : x
  2. Step 2: Convert to fraction form
    10,906.62/15,051.76 = 6,433/x
  3. Step 3: Cross multiply
    10,906.62x = 15,051.76 × 6,433
  4. Step 4: Simplify right side
    10,906.62x = 96,827,972.08
  5. Step 5: Solve for x
    x = 96,827,972.08/10,906.62
  6. Step 6: Final answer
    x = 8,877.91

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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.