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Finding the Fourth Proportional to 11,871.20, 17,810.93 and 4,477.79

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Solution

The fourth proportional to 11,871.20, 17,810.93 and 4,477.79 is: 6,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.20 : 17,810.93 = 4,477.79 : x
  2. Step 2: Convert to fraction form
    11,871.20/17,810.93 = 4,477.79/x
  3. Step 3: Cross multiply
    11,871.20x = 17,810.93 × 4,477.79
  4. Step 4: Simplify right side
    11,871.20x = 79,753,581.86
  5. Step 5: Solve for x
    x = 79,753,581.86/11,871.20
  6. Step 6: Final answer
    x = 6,718.24

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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.