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Finding the Fourth Proportional to 29,138.40, 43,707.60 and 9,431.10

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Solution

The fourth proportional to 29,138.40, 43,707.60 and 9,431.10 is: 14,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.40 : 43,707.60 = 9,431.10 : x
  2. Step 2: Convert to fraction form
    29,138.40/43,707.60 = 9,431.10/x
  3. Step 3: Cross multiply
    29,138.40x = 43,707.60 × 9,431.10
  4. Step 4: Simplify right side
    29,138.40x = 412,210,746.36
  5. Step 5: Solve for x
    x = 412,210,746.36/29,138.40
  6. Step 6: Final answer
    x = 14,146.65

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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.