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Finding the Fourth Proportional to 8,242.65, 12,368.04 and 3,859.35

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Solution

The fourth proportional to 8,242.65, 12,368.04 and 3,859.35 is: 5,790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.65 : 12,368.04 = 3,859.35 : x
  2. Step 2: Convert to fraction form
    8,242.65/12,368.04 = 3,859.35/x
  3. Step 3: Cross multiply
    8,242.65x = 12,368.04 × 3,859.35
  4. Step 4: Simplify right side
    8,242.65x = 47,732,595.17
  5. Step 5: Solve for x
    x = 47,732,595.17/8,242.65
  6. Step 6: Final answer
    x = 5,790.93

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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.