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Finding the Fourth Proportional to 13,591.65, 18,756.63 and 7,542

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Solution

The fourth proportional to 13,591.65, 18,756.63 and 7,542 is: 10,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591.65 : 18,756.63 = 7,542 : x
  2. Step 2: Convert to fraction form
    13,591.65/18,756.63 = 7,542/x
  3. Step 3: Cross multiply
    13,591.65x = 18,756.63 × 7,542
  4. Step 4: Simplify right side
    13,591.65x = 141,462,503.46
  5. Step 5: Solve for x
    x = 141,462,503.46/13,591.65
  6. Step 6: Final answer
    x = 10,408.04

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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.