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Finding the Fourth Proportional to 6,612, 9,124.92 and 3,818.40

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Solution

The fourth proportional to 6,612, 9,124.92 and 3,818.40 is: 5,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612 : 9,124.92 = 3,818.40 : x
  2. Step 2: Convert to fraction form
    6,612/9,124.92 = 3,818.40/x
  3. Step 3: Cross multiply
    6,612x = 9,124.92 × 3,818.40
  4. Step 4: Simplify right side
    6,612x = 34,842,594.53
  5. Step 5: Solve for x
    x = 34,842,594.53/6,612
  6. Step 6: Final answer
    x = 5,269.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.