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Finding the Fourth Proportional to 8,374.66, 12,561.99 and 3,184.18

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Solution

The fourth proportional to 8,374.66, 12,561.99 and 3,184.18 is: 4,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.66 : 12,561.99 = 3,184.18 : x
  2. Step 2: Convert to fraction form
    8,374.66/12,561.99 = 3,184.18/x
  3. Step 3: Cross multiply
    8,374.66x = 12,561.99 × 3,184.18
  4. Step 4: Simplify right side
    8,374.66x = 39,999,637.32
  5. Step 5: Solve for x
    x = 39,999,637.32/8,374.66
  6. Step 6: Final answer
    x = 4,776.27

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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.