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Finding the Fourth Proportional to 10,129.68, 13,978.92 and 5,653.44

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Solution

The fourth proportional to 10,129.68, 13,978.92 and 5,653.44 is: 7,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.68 : 13,978.92 = 5,653.44 : x
  2. Step 2: Convert to fraction form
    10,129.68/13,978.92 = 5,653.44/x
  3. Step 3: Cross multiply
    10,129.68x = 13,978.92 × 5,653.44
  4. Step 4: Simplify right side
    10,129.68x = 79,028,985.48
  5. Step 5: Solve for x
    x = 79,028,985.48/10,129.68
  6. Step 6: Final answer
    x = 7,801.73

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1.5x scale

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.