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Finding the Fourth Proportional to 8,569.06, 12,855.49 and 3,642.91

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Solution

The fourth proportional to 8,569.06, 12,855.49 and 3,642.91 is: 5,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.06 : 12,855.49 = 3,642.91 : x
  2. Step 2: Convert to fraction form
    8,569.06/12,855.49 = 3,642.91/x
  3. Step 3: Cross multiply
    8,569.06x = 12,855.49 × 3,642.91
  4. Step 4: Simplify right side
    8,569.06x = 46,831,393.08
  5. Step 5: Solve for x
    x = 46,831,393.08/8,569.06
  6. Step 6: Final answer
    x = 5,465.17

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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.