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Finding the Fourth Proportional to 8,478.57, 12,720.51 and 3,802.50

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Solution

The fourth proportional to 8,478.57, 12,720.51 and 3,802.50 is: 5,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.57 : 12,720.51 = 3,802.50 : x
  2. Step 2: Convert to fraction form
    8,478.57/12,720.51 = 3,802.50/x
  3. Step 3: Cross multiply
    8,478.57x = 12,720.51 × 3,802.50
  4. Step 4: Simplify right side
    8,478.57x = 48,369,739.28
  5. Step 5: Solve for x
    x = 48,369,739.28/8,478.57
  6. Step 6: Final answer
    x = 5,704.94

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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.