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Finding the Fourth Proportional to 6,397.40, 9,579.90 and 5,101.40

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Solution

The fourth proportional to 6,397.40, 9,579.90 and 5,101.40 is: 7,639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.40 : 9,579.90 = 5,101.40 : x
  2. Step 2: Convert to fraction form
    6,397.40/9,579.90 = 5,101.40/x
  3. Step 3: Cross multiply
    6,397.40x = 9,579.90 × 5,101.40
  4. Step 4: Simplify right side
    6,397.40x = 48,870,901.86
  5. Step 5: Solve for x
    x = 48,870,901.86/6,397.40
  6. Step 6: Final answer
    x = 7,639.18

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1.5x scale

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.