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Finding the Fourth Proportional to 8,374.16, 12,561.24 and 4,909.52

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Solution

The fourth proportional to 8,374.16, 12,561.24 and 4,909.52 is: 7,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.16 : 12,561.24 = 4,909.52 : x
  2. Step 2: Convert to fraction form
    8,374.16/12,561.24 = 4,909.52/x
  3. Step 3: Cross multiply
    8,374.16x = 12,561.24 × 4,909.52
  4. Step 4: Simplify right side
    8,374.16x = 61,669,659.00
  5. Step 5: Solve for x
    x = 61,669,659.00/8,374.16
  6. Step 6: Final answer
    x = 7,364.28

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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.