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Finding the Fourth Proportional to 8,564.95, 12,849.64 and 2,641.71

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Solution

The fourth proportional to 8,564.95, 12,849.64 and 2,641.71 is: 3,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.95 : 12,849.64 = 2,641.71 : x
  2. Step 2: Convert to fraction form
    8,564.95/12,849.64 = 2,641.71/x
  3. Step 3: Cross multiply
    8,564.95x = 12,849.64 × 2,641.71
  4. Step 4: Simplify right side
    8,564.95x = 33,944,955.65
  5. Step 5: Solve for x
    x = 33,944,955.65/8,564.95
  6. Step 6: Final answer
    x = 3,963.24

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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.