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Finding the Fourth Proportional to 7,482, 10,328.52 and 4,689.12

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Solution

The fourth proportional to 7,482, 10,328.52 and 4,689.12 is: 6,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482 : 10,328.52 = 4,689.12 : x
  2. Step 2: Convert to fraction form
    7,482/10,328.52 = 4,689.12/x
  3. Step 3: Cross multiply
    7,482x = 10,328.52 × 4,689.12
  4. Step 4: Simplify right side
    7,482x = 48,431,669.70
  5. Step 5: Solve for x
    x = 48,431,669.70/7,482
  6. Step 6: Final answer
    x = 6,473.09

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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.