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Finding the Fourth Proportional to 7,215.39, 9,957.42 and 4,071.78

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Solution

The fourth proportional to 7,215.39, 9,957.42 and 4,071.78 is: 5,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.39 : 9,957.42 = 4,071.78 : x
  2. Step 2: Convert to fraction form
    7,215.39/9,957.42 = 4,071.78/x
  3. Step 3: Cross multiply
    7,215.39x = 9,957.42 × 4,071.78
  4. Step 4: Simplify right side
    7,215.39x = 40,544,423.61
  5. Step 5: Solve for x
    x = 40,544,423.61/7,215.39
  6. Step 6: Final answer
    x = 5,619.16

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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.