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Finding the Fourth Proportional to 13,574.65, 18,742.17 and 8,477.95

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Solution

The fourth proportional to 13,574.65, 18,742.17 and 8,477.95 is: 11,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.65 : 18,742.17 = 8,477.95 : x
  2. Step 2: Convert to fraction form
    13,574.65/18,742.17 = 8,477.95/x
  3. Step 3: Cross multiply
    13,574.65x = 18,742.17 × 8,477.95
  4. Step 4: Simplify right side
    13,574.65x = 158,895,180.15
  5. Step 5: Solve for x
    x = 158,895,180.15/13,574.65
  6. Step 6: Final answer
    x = 11,705.29

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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.