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Finding the Fourth Proportional to 10,318.50, 14,214 and 8,801.10

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Solution

The fourth proportional to 10,318.50, 14,214 and 8,801.10 is: 12,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.50 : 14,214 = 8,801.10 : x
  2. Step 2: Convert to fraction form
    10,318.50/14,214 = 8,801.10/x
  3. Step 3: Cross multiply
    10,318.50x = 14,214 × 8,801.10
  4. Step 4: Simplify right side
    10,318.50x = 125,098,835.40
  5. Step 5: Solve for x
    x = 125,098,835.40/10,318.50
  6. Step 6: Final answer
    x = 12,123.74

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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.