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Finding the Fourth Proportional to 10,493, 14,480 and 5,777.16

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Solution

The fourth proportional to 10,493, 14,480 and 5,777.16 is: 7,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493 : 14,480 = 5,777.16 : x
  2. Step 2: Convert to fraction form
    10,493/14,480 = 5,777.16/x
  3. Step 3: Cross multiply
    10,493x = 14,480 × 5,777.16
  4. Step 4: Simplify right side
    10,493x = 83,653,276.80
  5. Step 5: Solve for x
    x = 83,653,276.80/10,493
  6. Step 6: Final answer
    x = 7,972.29

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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.