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Finding the Fourth Proportional to 8,669, 13,012.87 and 4,295.71

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Solution

The fourth proportional to 8,669, 13,012.87 and 4,295.71 is: 6,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669 : 13,012.87 = 4,295.71 : x
  2. Step 2: Convert to fraction form
    8,669/13,012.87 = 4,295.71/x
  3. Step 3: Cross multiply
    8,669x = 13,012.87 × 4,295.71
  4. Step 4: Simplify right side
    8,669x = 55,899,515.79
  5. Step 5: Solve for x
    x = 55,899,515.79/8,669
  6. Step 6: Final answer
    x = 6,448.21

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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.