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Finding the Fourth Proportional to 13,542.74, 18,689 and 7,574.50

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Solution

The fourth proportional to 13,542.74, 18,689 and 7,574.50 is: 10,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.74 : 18,689 = 7,574.50 : x
  2. Step 2: Convert to fraction form
    13,542.74/18,689 = 7,574.50/x
  3. Step 3: Cross multiply
    13,542.74x = 18,689 × 7,574.50
  4. Step 4: Simplify right side
    13,542.74x = 141,559,830.50
  5. Step 5: Solve for x
    x = 141,559,830.50/13,542.74
  6. Step 6: Final answer
    x = 10,452.82

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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.