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Finding the Fourth Proportional to 10,656.28, 15,978.30 and 4,078.36

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Solution

The fourth proportional to 10,656.28, 15,978.30 and 4,078.36 is: 6,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.28 : 15,978.30 = 4,078.36 : x
  2. Step 2: Convert to fraction form
    10,656.28/15,978.30 = 4,078.36/x
  3. Step 3: Cross multiply
    10,656.28x = 15,978.30 × 4,078.36
  4. Step 4: Simplify right side
    10,656.28x = 65,165,259.59
  5. Step 5: Solve for x
    x = 65,165,259.59/10,656.28
  6. Step 6: Final answer
    x = 6,115.20

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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.