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Finding the Fourth Proportional to 8,686.64, 13,029.96 and 4,815.65

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Solution

The fourth proportional to 8,686.64, 13,029.96 and 4,815.65 is: 7,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.64 : 13,029.96 = 4,815.65 : x
  2. Step 2: Convert to fraction form
    8,686.64/13,029.96 = 4,815.65/x
  3. Step 3: Cross multiply
    8,686.64x = 13,029.96 × 4,815.65
  4. Step 4: Simplify right side
    8,686.64x = 62,747,777.51
  5. Step 5: Solve for x
    x = 62,747,777.51/8,686.64
  6. Step 6: Final answer
    x = 7,223.48

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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.