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Finding the Fourth Proportional to 8,648.46, 12,973.50 and 5,207.58

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Solution

The fourth proportional to 8,648.46, 12,973.50 and 5,207.58 is: 7,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.46 : 12,973.50 = 5,207.58 : x
  2. Step 2: Convert to fraction form
    8,648.46/12,973.50 = 5,207.58/x
  3. Step 3: Cross multiply
    8,648.46x = 12,973.50 × 5,207.58
  4. Step 4: Simplify right side
    8,648.46x = 67,560,539.13
  5. Step 5: Solve for x
    x = 67,560,539.13/8,648.46
  6. Step 6: Final answer
    x = 7,811.86

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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.