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Finding the Fourth Proportional to 29,078, 40,127.64 and 15,830

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Solution

The fourth proportional to 29,078, 40,127.64 and 15,830 is: 21,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,078 : 40,127.64 = 15,830 : x
  2. Step 2: Convert to fraction form
    29,078/40,127.64 = 15,830/x
  3. Step 3: Cross multiply
    29,078x = 40,127.64 × 15,830
  4. Step 4: Simplify right side
    29,078x = 635,220,541.20
  5. Step 5: Solve for x
    x = 635,220,541.20/29,078
  6. Step 6: Final answer
    x = 21,845.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.