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Finding the Fourth Proportional to 15,167.75, 20,931.51 and 8,453.22

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Solution

The fourth proportional to 15,167.75, 20,931.51 and 8,453.22 is: 11,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,167.75 : 20,931.51 = 8,453.22 : x
  2. Step 2: Convert to fraction form
    15,167.75/20,931.51 = 8,453.22/x
  3. Step 3: Cross multiply
    15,167.75x = 20,931.51 × 8,453.22
  4. Step 4: Simplify right side
    15,167.75x = 176,938,616.70
  5. Step 5: Solve for x
    x = 176,938,616.70/15,167.75
  6. Step 6: Final answer
    x = 11,665.45

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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.