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Finding the Fourth Proportional to 10,068, 15,091.20 and 4,862.40

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Solution

The fourth proportional to 10,068, 15,091.20 and 4,862.40 is: 7,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068 : 15,091.20 = 4,862.40 : x
  2. Step 2: Convert to fraction form
    10,068/15,091.20 = 4,862.40/x
  3. Step 3: Cross multiply
    10,068x = 15,091.20 × 4,862.40
  4. Step 4: Simplify right side
    10,068x = 73,379,450.88
  5. Step 5: Solve for x
    x = 73,379,450.88/10,068
  6. Step 6: Final answer
    x = 7,288.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.