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Finding the Fourth Proportional to 8,645.65, 12,973.52 and 3,647.72

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Solution

The fourth proportional to 8,645.65, 12,973.52 and 3,647.72 is: 5,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.65 : 12,973.52 = 3,647.72 : x
  2. Step 2: Convert to fraction form
    8,645.65/12,973.52 = 3,647.72/x
  3. Step 3: Cross multiply
    8,645.65x = 12,973.52 × 3,647.72
  4. Step 4: Simplify right side
    8,645.65x = 47,323,809.93
  5. Step 5: Solve for x
    x = 47,323,809.93/8,645.65
  6. Step 6: Final answer
    x = 5,473.71

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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.