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Finding the Fourth Proportional to 7,178.16, 9,902.72 and 4,382

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Solution

The fourth proportional to 7,178.16, 9,902.72 and 4,382 is: 6,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.16 : 9,902.72 = 4,382 : x
  2. Step 2: Convert to fraction form
    7,178.16/9,902.72 = 4,382/x
  3. Step 3: Cross multiply
    7,178.16x = 9,902.72 × 4,382
  4. Step 4: Simplify right side
    7,178.16x = 43,393,719.04
  5. Step 5: Solve for x
    x = 43,393,719.04/7,178.16
  6. Step 6: Final answer
    x = 6,045.24

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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.