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Finding the Fourth Proportional to 11,324, 15,627.12 and 6,357.60

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Solution

The fourth proportional to 11,324, 15,627.12 and 6,357.60 is: 8,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324 : 15,627.12 = 6,357.60 : x
  2. Step 2: Convert to fraction form
    11,324/15,627.12 = 6,357.60/x
  3. Step 3: Cross multiply
    11,324x = 15,627.12 × 6,357.60
  4. Step 4: Simplify right side
    11,324x = 99,350,978.11
  5. Step 5: Solve for x
    x = 99,350,978.11/11,324
  6. Step 6: Final answer
    x = 8,773.49

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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.