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Finding the Fourth Proportional to 8,552.80, 12,818.40 and 4,654

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Solution

The fourth proportional to 8,552.80, 12,818.40 and 4,654 is: 6,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552.80 : 12,818.40 = 4,654 : x
  2. Step 2: Convert to fraction form
    8,552.80/12,818.40 = 4,654/x
  3. Step 3: Cross multiply
    8,552.80x = 12,818.40 × 4,654
  4. Step 4: Simplify right side
    8,552.80x = 59,656,833.60
  5. Step 5: Solve for x
    x = 59,656,833.60/8,552.80
  6. Step 6: Final answer
    x = 6,975.12

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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.