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Finding the Fourth Proportional to 11,501.53, 15,869.46 and 8,319.49

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Solution

The fourth proportional to 11,501.53, 15,869.46 and 8,319.49 is: 11,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.53 : 15,869.46 = 8,319.49 : x
  2. Step 2: Convert to fraction form
    11,501.53/15,869.46 = 8,319.49/x
  3. Step 3: Cross multiply
    11,501.53x = 15,869.46 × 8,319.49
  4. Step 4: Simplify right side
    11,501.53x = 132,025,813.78
  5. Step 5: Solve for x
    x = 132,025,813.78/11,501.53
  6. Step 6: Final answer
    x = 11,478.98

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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.