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Finding the Fourth Proportional to 8,538.10, 12,793.35 and 4,829.30

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Solution

The fourth proportional to 8,538.10, 12,793.35 and 4,829.30 is: 7,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.10 : 12,793.35 = 4,829.30 : x
  2. Step 2: Convert to fraction form
    8,538.10/12,793.35 = 4,829.30/x
  3. Step 3: Cross multiply
    8,538.10x = 12,793.35 × 4,829.30
  4. Step 4: Simplify right side
    8,538.10x = 61,782,925.16
  5. Step 5: Solve for x
    x = 61,782,925.16/8,538.10
  6. Step 6: Final answer
    x = 7,236.14

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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.