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Finding the Fourth Proportional to 10,978.80, 16,468.20 and 5,139.52

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Solution

The fourth proportional to 10,978.80, 16,468.20 and 5,139.52 is: 7,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.80 : 16,468.20 = 5,139.52 : x
  2. Step 2: Convert to fraction form
    10,978.80/16,468.20 = 5,139.52/x
  3. Step 3: Cross multiply
    10,978.80x = 16,468.20 × 5,139.52
  4. Step 4: Simplify right side
    10,978.80x = 84,638,643.26
  5. Step 5: Solve for x
    x = 84,638,643.26/10,978.80
  6. Step 6: Final answer
    x = 7,709.28

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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.