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Finding the Fourth Proportional to 7,332, 10,118.80 and 4,020.64

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Solution

The fourth proportional to 7,332, 10,118.80 and 4,020.64 is: 5,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332 : 10,118.80 = 4,020.64 : x
  2. Step 2: Convert to fraction form
    7,332/10,118.80 = 4,020.64/x
  3. Step 3: Cross multiply
    7,332x = 10,118.80 × 4,020.64
  4. Step 4: Simplify right side
    7,332x = 40,684,052.03
  5. Step 5: Solve for x
    x = 40,684,052.03/7,332
  6. Step 6: Final answer
    x = 5,548.83

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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.