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Finding the Fourth Proportional to 13,711.70, 18,918.95 and 8,046.16

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Solution

The fourth proportional to 13,711.70, 18,918.95 and 8,046.16 is: 11,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.70 : 18,918.95 = 8,046.16 : x
  2. Step 2: Convert to fraction form
    13,711.70/18,918.95 = 8,046.16/x
  3. Step 3: Cross multiply
    13,711.70x = 18,918.95 × 8,046.16
  4. Step 4: Simplify right side
    13,711.70x = 152,224,811.20
  5. Step 5: Solve for x
    x = 152,224,811.20/13,711.70
  6. Step 6: Final answer
    x = 11,101.82

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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.