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Finding the Fourth Proportional to 29,140.40, 43,728.60 and 11,608.40

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Solution

The fourth proportional to 29,140.40, 43,728.60 and 11,608.40 is: 17,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,140.40 : 43,728.60 = 11,608.40 : x
  2. Step 2: Convert to fraction form
    29,140.40/43,728.60 = 11,608.40/x
  3. Step 3: Cross multiply
    29,140.40x = 43,728.60 × 11,608.40
  4. Step 4: Simplify right side
    29,140.40x = 507,619,080.24
  5. Step 5: Solve for x
    x = 507,619,080.24/29,140.40
  6. Step 6: Final answer
    x = 17,419.77

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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.