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Finding the Fourth Proportional to 8,265.65, 12,390.57 and 3,070.31

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Solution

The fourth proportional to 8,265.65, 12,390.57 and 3,070.31 is: 4,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.65 : 12,390.57 = 3,070.31 : x
  2. Step 2: Convert to fraction form
    8,265.65/12,390.57 = 3,070.31/x
  3. Step 3: Cross multiply
    8,265.65x = 12,390.57 × 3,070.31
  4. Step 4: Simplify right side
    8,265.65x = 38,042,829.02
  5. Step 5: Solve for x
    x = 38,042,829.02/8,265.65
  6. Step 6: Final answer
    x = 4,602.52

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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.