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Finding the Fourth Proportional to 13,931.82, 20,903.07 and 8,389.13

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Solution

The fourth proportional to 13,931.82, 20,903.07 and 8,389.13 is: 12,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.82 : 20,903.07 = 8,389.13 : x
  2. Step 2: Convert to fraction form
    13,931.82/20,903.07 = 8,389.13/x
  3. Step 3: Cross multiply
    13,931.82x = 20,903.07 × 8,389.13
  4. Step 4: Simplify right side
    13,931.82x = 175,358,425.17
  5. Step 5: Solve for x
    x = 175,358,425.17/13,931.82
  6. Step 6: Final answer
    x = 12,586.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.