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Finding the Fourth Proportional to 10,652.16, 15,978.24 and 5,455.20

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Solution

The fourth proportional to 10,652.16, 15,978.24 and 5,455.20 is: 8,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.16 : 15,978.24 = 5,455.20 : x
  2. Step 2: Convert to fraction form
    10,652.16/15,978.24 = 5,455.20/x
  3. Step 3: Cross multiply
    10,652.16x = 15,978.24 × 5,455.20
  4. Step 4: Simplify right side
    10,652.16x = 87,164,494.85
  5. Step 5: Solve for x
    x = 87,164,494.85/10,652.16
  6. Step 6: Final answer
    x = 8,182.80

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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.