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Finding the Fourth Proportional to 8,569.72, 12,854.91 and 2,646.07

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Solution

The fourth proportional to 8,569.72, 12,854.91 and 2,646.07 is: 3,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.72 : 12,854.91 = 2,646.07 : x
  2. Step 2: Convert to fraction form
    8,569.72/12,854.91 = 2,646.07/x
  3. Step 3: Cross multiply
    8,569.72x = 12,854.91 × 2,646.07
  4. Step 4: Simplify right side
    8,569.72x = 34,014,991.70
  5. Step 5: Solve for x
    x = 34,014,991.70/8,569.72
  6. Step 6: Final answer
    x = 3,969.21

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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.