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Finding the Fourth Proportional to 6,397.84, 9,540.95 and 5,689.90

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Solution

The fourth proportional to 6,397.84, 9,540.95 and 5,689.90 is: 8,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.84 : 9,540.95 = 5,689.90 : x
  2. Step 2: Convert to fraction form
    6,397.84/9,540.95 = 5,689.90/x
  3. Step 3: Cross multiply
    6,397.84x = 9,540.95 × 5,689.90
  4. Step 4: Simplify right side
    6,397.84x = 54,287,051.41
  5. Step 5: Solve for x
    x = 54,287,051.41/6,397.84
  6. Step 6: Final answer
    x = 8,485.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.