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Finding the Fourth Proportional to 6,851.52, 9,438.70 and 6,518

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Solution

The fourth proportional to 6,851.52, 9,438.70 and 6,518 is: 8,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.52 : 9,438.70 = 6,518 : x
  2. Step 2: Convert to fraction form
    6,851.52/9,438.70 = 6,518/x
  3. Step 3: Cross multiply
    6,851.52x = 9,438.70 × 6,518
  4. Step 4: Simplify right side
    6,851.52x = 61,521,446.60
  5. Step 5: Solve for x
    x = 61,521,446.60/6,851.52
  6. Step 6: Final answer
    x = 8,979.24

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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.