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Finding the Fourth Proportional to 8,646.65, 12,975.02 and 3,648.72

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Solution

The fourth proportional to 8,646.65, 12,975.02 and 3,648.72 is: 5,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.65 : 12,975.02 = 3,648.72 : x
  2. Step 2: Convert to fraction form
    8,646.65/12,975.02 = 3,648.72/x
  3. Step 3: Cross multiply
    8,646.65x = 12,975.02 × 3,648.72
  4. Step 4: Simplify right side
    8,646.65x = 47,342,214.97
  5. Step 5: Solve for x
    x = 47,342,214.97/8,646.65
  6. Step 6: Final answer
    x = 5,475.21

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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.