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Finding the Fourth Proportional to 12,311.89, 18,471 and 3,547.48

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Solution

The fourth proportional to 12,311.89, 18,471 and 3,547.48 is: 5,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.89 : 18,471 = 3,547.48 : x
  2. Step 2: Convert to fraction form
    12,311.89/18,471 = 3,547.48/x
  3. Step 3: Cross multiply
    12,311.89x = 18,471 × 3,547.48
  4. Step 4: Simplify right side
    12,311.89x = 65,525,503.08
  5. Step 5: Solve for x
    x = 65,525,503.08/12,311.89
  6. Step 6: Final answer
    x = 5,322.13

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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.