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Finding the Fourth Proportional to 8,530.25, 12,799.10 and 2,987.57

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Solution

The fourth proportional to 8,530.25, 12,799.10 and 2,987.57 is: 4,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.25 : 12,799.10 = 2,987.57 : x
  2. Step 2: Convert to fraction form
    8,530.25/12,799.10 = 2,987.57/x
  3. Step 3: Cross multiply
    8,530.25x = 12,799.10 × 2,987.57
  4. Step 4: Simplify right side
    8,530.25x = 38,238,246.65
  5. Step 5: Solve for x
    x = 38,238,246.65/8,530.25
  6. Step 6: Final answer
    x = 4,482.66

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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.