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Finding the Fourth Proportional to 40,963.60, 61,430.04 and 17,578

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Solution

The fourth proportional to 40,963.60, 61,430.04 and 17,578 is: 26,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,963.60 : 61,430.04 = 17,578 : x
  2. Step 2: Convert to fraction form
    40,963.60/61,430.04 = 17,578/x
  3. Step 3: Cross multiply
    40,963.60x = 61,430.04 × 17,578
  4. Step 4: Simplify right side
    40,963.60x = 1,079,817,243.12
  5. Step 5: Solve for x
    x = 1,079,817,243.12/40,963.60
  6. Step 6: Final answer
    x = 26,360.41

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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.