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Finding the Fourth Proportional to 6,972.64, 9,620.76 and 4,139.92

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Solution

The fourth proportional to 6,972.64, 9,620.76 and 4,139.92 is: 5,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.64 : 9,620.76 = 4,139.92 : x
  2. Step 2: Convert to fraction form
    6,972.64/9,620.76 = 4,139.92/x
  3. Step 3: Cross multiply
    6,972.64x = 9,620.76 × 4,139.92
  4. Step 4: Simplify right side
    6,972.64x = 39,829,176.74
  5. Step 5: Solve for x
    x = 39,829,176.74/6,972.64
  6. Step 6: Final answer
    x = 5,712.21

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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.