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Finding the Fourth Proportional to 6,737.32, 9,294.88 and 4,218.40

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Solution

The fourth proportional to 6,737.32, 9,294.88 and 4,218.40 is: 5,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.32 : 9,294.88 = 4,218.40 : x
  2. Step 2: Convert to fraction form
    6,737.32/9,294.88 = 4,218.40/x
  3. Step 3: Cross multiply
    6,737.32x = 9,294.88 × 4,218.40
  4. Step 4: Simplify right side
    6,737.32x = 39,209,521.79
  5. Step 5: Solve for x
    x = 39,209,521.79/6,737.32
  6. Step 6: Final answer
    x = 5,819.75

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1.5x scale

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.