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Finding the Fourth Proportional to 12,471.77, 18,712.16 and 7,722.40

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Solution

The fourth proportional to 12,471.77, 18,712.16 and 7,722.40 is: 11,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.77 : 18,712.16 = 7,722.40 : x
  2. Step 2: Convert to fraction form
    12,471.77/18,712.16 = 7,722.40/x
  3. Step 3: Cross multiply
    12,471.77x = 18,712.16 × 7,722.40
  4. Step 4: Simplify right side
    12,471.77x = 144,502,784.38
  5. Step 5: Solve for x
    x = 144,502,784.38/12,471.77
  6. Step 6: Final answer
    x = 11,586.39

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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.