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Finding the Fourth Proportional to 13,542.70, 18,689.88 and 7,574.92

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Solution

The fourth proportional to 13,542.70, 18,689.88 and 7,574.92 is: 10,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.70 : 18,689.88 = 7,574.92 : x
  2. Step 2: Convert to fraction form
    13,542.70/18,689.88 = 7,574.92/x
  3. Step 3: Cross multiply
    13,542.70x = 18,689.88 × 7,574.92
  4. Step 4: Simplify right side
    13,542.70x = 141,574,345.81
  5. Step 5: Solve for x
    x = 141,574,345.81/13,542.70
  6. Step 6: Final answer
    x = 10,453.92

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Half scale
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1.5x scale

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.