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Finding the Fourth Proportional to 8,564.81, 12,844.76 and 2,721.24

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Solution

The fourth proportional to 8,564.81, 12,844.76 and 2,721.24 is: 4,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.81 : 12,844.76 = 2,721.24 : x
  2. Step 2: Convert to fraction form
    8,564.81/12,844.76 = 2,721.24/x
  3. Step 3: Cross multiply
    8,564.81x = 12,844.76 × 2,721.24
  4. Step 4: Simplify right side
    8,564.81x = 34,953,661.10
  5. Step 5: Solve for x
    x = 34,953,661.10/8,564.81
  6. Step 6: Final answer
    x = 4,081.08

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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.