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Finding the Fourth Proportional to 13,637, 20,454.92 and 4,276.82

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Solution

The fourth proportional to 13,637, 20,454.92 and 4,276.82 is: 6,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637 : 20,454.92 = 4,276.82 : x
  2. Step 2: Convert to fraction form
    13,637/20,454.92 = 4,276.82/x
  3. Step 3: Cross multiply
    13,637x = 20,454.92 × 4,276.82
  4. Step 4: Simplify right side
    13,637x = 87,482,010.95
  5. Step 5: Solve for x
    x = 87,482,010.95/13,637
  6. Step 6: Final answer
    x = 6,415.05

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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.