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Finding the Fourth Proportional to 28,996, 40,014.64 and 15,748

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Solution

The fourth proportional to 28,996, 40,014.64 and 15,748 is: 21,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,996 : 40,014.64 = 15,748 : x
  2. Step 2: Convert to fraction form
    28,996/40,014.64 = 15,748/x
  3. Step 3: Cross multiply
    28,996x = 40,014.64 × 15,748
  4. Step 4: Simplify right side
    28,996x = 630,150,550.72
  5. Step 5: Solve for x
    x = 630,150,550.72/28,996
  6. Step 6: Final answer
    x = 21,732.33

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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.