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Finding the Fourth Proportional to 7,146, 9,862.56 and 4,353.12

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Solution

The fourth proportional to 7,146, 9,862.56 and 4,353.12 is: 6,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146 : 9,862.56 = 4,353.12 : x
  2. Step 2: Convert to fraction form
    7,146/9,862.56 = 4,353.12/x
  3. Step 3: Cross multiply
    7,146x = 9,862.56 × 4,353.12
  4. Step 4: Simplify right side
    7,146x = 42,932,907.19
  5. Step 5: Solve for x
    x = 42,932,907.19/7,146
  6. Step 6: Final answer
    x = 6,007.96

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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.