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Finding the Fourth Proportional to 16,827.72, 25,235.10 and 4,978.20

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Solution

The fourth proportional to 16,827.72, 25,235.10 and 4,978.20 is: 7,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.72 : 25,235.10 = 4,978.20 : x
  2. Step 2: Convert to fraction form
    16,827.72/25,235.10 = 4,978.20/x
  3. Step 3: Cross multiply
    16,827.72x = 25,235.10 × 4,978.20
  4. Step 4: Simplify right side
    16,827.72x = 125,625,374.82
  5. Step 5: Solve for x
    x = 125,625,374.82/16,827.72
  6. Step 6: Final answer
    x = 7,465.38

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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.