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Finding the Fourth Proportional to 10,128, 13,977.12 and 5,712

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Solution

The fourth proportional to 10,128, 13,977.12 and 5,712 is: 7,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128 : 13,977.12 = 5,712 : x
  2. Step 2: Convert to fraction form
    10,128/13,977.12 = 5,712/x
  3. Step 3: Cross multiply
    10,128x = 13,977.12 × 5,712
  4. Step 4: Simplify right side
    10,128x = 79,837,309.44
  5. Step 5: Solve for x
    x = 79,837,309.44/10,128
  6. Step 6: Final answer
    x = 7,882.83

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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.