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Finding the Fourth Proportional to 12,991.95, 17,931.87 and 8,513.15

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Solution

The fourth proportional to 12,991.95, 17,931.87 and 8,513.15 is: 11,750.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.95 : 17,931.87 = 8,513.15 : x
  2. Step 2: Convert to fraction form
    12,991.95/17,931.87 = 8,513.15/x
  3. Step 3: Cross multiply
    12,991.95x = 17,931.87 × 8,513.15
  4. Step 4: Simplify right side
    12,991.95x = 152,656,609.43
  5. Step 5: Solve for x
    x = 152,656,609.43/12,991.95
  6. Step 6: Final answer
    x = 11,750.09

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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.