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Finding the Fourth Proportional to 22,929, 34,395.12 and 9,078

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Solution

The fourth proportional to 22,929, 34,395.12 and 9,078 is: 13,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,929 : 34,395.12 = 9,078 : x
  2. Step 2: Convert to fraction form
    22,929/34,395.12 = 9,078/x
  3. Step 3: Cross multiply
    22,929x = 34,395.12 × 9,078
  4. Step 4: Simplify right side
    22,929x = 312,238,899.36
  5. Step 5: Solve for x
    x = 312,238,899.36/22,929
  6. Step 6: Final answer
    x = 13,617.64

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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.