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Finding the Fourth Proportional to 9,475.60, 14,179.80 and 8,256.40

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Solution

The fourth proportional to 9,475.60, 14,179.80 and 8,256.40 is: 12,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.60 : 14,179.80 = 8,256.40 : x
  2. Step 2: Convert to fraction form
    9,475.60/14,179.80 = 8,256.40/x
  3. Step 3: Cross multiply
    9,475.60x = 14,179.80 × 8,256.40
  4. Step 4: Simplify right side
    9,475.60x = 117,074,100.72
  5. Step 5: Solve for x
    x = 117,074,100.72/9,475.60
  6. Step 6: Final answer
    x = 12,355.32

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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.