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Finding the Fourth Proportional to 13,098.71, 18,082.70 and 8,928.83

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Solution

The fourth proportional to 13,098.71, 18,082.70 and 8,928.83 is: 12,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.71 : 18,082.70 = 8,928.83 : x
  2. Step 2: Convert to fraction form
    13,098.71/18,082.70 = 8,928.83/x
  3. Step 3: Cross multiply
    13,098.71x = 18,082.70 × 8,928.83
  4. Step 4: Simplify right side
    13,098.71x = 161,457,309.60
  5. Step 5: Solve for x
    x = 161,457,309.60/13,098.71
  6. Step 6: Final answer
    x = 12,326.20

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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.