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Finding the Fourth Proportional to 10,970, 15,138.64 and 6,002

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Solution

The fourth proportional to 10,970, 15,138.64 and 6,002 is: 8,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970 : 15,138.64 = 6,002 : x
  2. Step 2: Convert to fraction form
    10,970/15,138.64 = 6,002/x
  3. Step 3: Cross multiply
    10,970x = 15,138.64 × 6,002
  4. Step 4: Simplify right side
    10,970x = 90,862,117.28
  5. Step 5: Solve for x
    x = 90,862,117.28/10,970
  6. Step 6: Final answer
    x = 8,282.78

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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.