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Finding the Fourth Proportional to 13,443.78, 20,160.78 and 5,126.10

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Solution

The fourth proportional to 13,443.78, 20,160.78 and 5,126.10 is: 7,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.78 : 20,160.78 = 5,126.10 : x
  2. Step 2: Convert to fraction form
    13,443.78/20,160.78 = 5,126.10/x
  3. Step 3: Cross multiply
    13,443.78x = 20,160.78 × 5,126.10
  4. Step 4: Simplify right side
    13,443.78x = 103,346,174.36
  5. Step 5: Solve for x
    x = 103,346,174.36/13,443.78
  6. Step 6: Final answer
    x = 7,687.29

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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.