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Finding the Fourth Proportional to 7,117.61, 9,806.31 and 4,962.15

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Solution

The fourth proportional to 7,117.61, 9,806.31 and 4,962.15 is: 6,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.61 : 9,806.31 = 4,962.15 : x
  2. Step 2: Convert to fraction form
    7,117.61/9,806.31 = 4,962.15/x
  3. Step 3: Cross multiply
    7,117.61x = 9,806.31 × 4,962.15
  4. Step 4: Simplify right side
    7,117.61x = 48,660,381.17
  5. Step 5: Solve for x
    x = 48,660,381.17/7,117.61
  6. Step 6: Final answer
    x = 6,836.62

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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.