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Finding the Fourth Proportional to 13,896.92, 20,834.98 and 5,130.20

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Solution

The fourth proportional to 13,896.92, 20,834.98 and 5,130.20 is: 7,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.92 : 20,834.98 = 5,130.20 : x
  2. Step 2: Convert to fraction form
    13,896.92/20,834.98 = 5,130.20/x
  3. Step 3: Cross multiply
    13,896.92x = 20,834.98 × 5,130.20
  4. Step 4: Simplify right side
    13,896.92x = 106,887,614.40
  5. Step 5: Solve for x
    x = 106,887,614.40/13,896.92
  6. Step 6: Final answer
    x = 7,691.46

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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.