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Finding the Fourth Proportional to 8,634.40, 12,946.02 and 4,737.76

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Solution

The fourth proportional to 8,634.40, 12,946.02 and 4,737.76 is: 7,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.40 : 12,946.02 = 4,737.76 : x
  2. Step 2: Convert to fraction form
    8,634.40/12,946.02 = 4,737.76/x
  3. Step 3: Cross multiply
    8,634.40x = 12,946.02 × 4,737.76
  4. Step 4: Simplify right side
    8,634.40x = 61,335,135.72
  5. Step 5: Solve for x
    x = 61,335,135.72/8,634.40
  6. Step 6: Final answer
    x = 7,103.58

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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.