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Finding the Fourth Proportional to 10,502.43, 15,759 and 6,994.92

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Solution

The fourth proportional to 10,502.43, 15,759 and 6,994.92 is: 10,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.43 : 15,759 = 6,994.92 : x
  2. Step 2: Convert to fraction form
    10,502.43/15,759 = 6,994.92/x
  3. Step 3: Cross multiply
    10,502.43x = 15,759 × 6,994.92
  4. Step 4: Simplify right side
    10,502.43x = 110,232,944.28
  5. Step 5: Solve for x
    x = 110,232,944.28/10,502.43
  6. Step 6: Final answer
    x = 10,495.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.