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Finding the Fourth Proportional to 28,929.61, 43,399.28 and 9,214.21

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Solution

The fourth proportional to 28,929.61, 43,399.28 and 9,214.21 is: 13,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,929.61 : 43,399.28 = 9,214.21 : x
  2. Step 2: Convert to fraction form
    28,929.61/43,399.28 = 9,214.21/x
  3. Step 3: Cross multiply
    28,929.61x = 43,399.28 × 9,214.21
  4. Step 4: Simplify right side
    28,929.61x = 399,890,079.77
  5. Step 5: Solve for x
    x = 399,890,079.77/28,929.61
  6. Step 6: Final answer
    x = 13,822.86

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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.