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Finding the Fourth Proportional to 7,542, 10,407.96 and 4,184.70

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Solution

The fourth proportional to 7,542, 10,407.96 and 4,184.70 is: 5,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542 : 10,407.96 = 4,184.70 : x
  2. Step 2: Convert to fraction form
    7,542/10,407.96 = 4,184.70/x
  3. Step 3: Cross multiply
    7,542x = 10,407.96 × 4,184.70
  4. Step 4: Simplify right side
    7,542x = 43,554,190.21
  5. Step 5: Solve for x
    x = 43,554,190.21/7,542
  6. Step 6: Final answer
    x = 5,774.89

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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.