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Finding the Fourth Proportional to 7,482, 10,325.28 and 4,339.20

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Solution

The fourth proportional to 7,482, 10,325.28 and 4,339.20 is: 5,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482 : 10,325.28 = 4,339.20 : x
  2. Step 2: Convert to fraction form
    7,482/10,325.28 = 4,339.20/x
  3. Step 3: Cross multiply
    7,482x = 10,325.28 × 4,339.20
  4. Step 4: Simplify right side
    7,482x = 44,803,454.98
  5. Step 5: Solve for x
    x = 44,803,454.98/7,482
  6. Step 6: Final answer
    x = 5,988.17

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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.