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Finding the Fourth Proportional to 7,281.78, 10,904.13 and 4,812.90

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Solution

The fourth proportional to 7,281.78, 10,904.13 and 4,812.90 is: 7,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.78 : 10,904.13 = 4,812.90 : x
  2. Step 2: Convert to fraction form
    7,281.78/10,904.13 = 4,812.90/x
  3. Step 3: Cross multiply
    7,281.78x = 10,904.13 × 4,812.90
  4. Step 4: Simplify right side
    7,281.78x = 52,480,487.28
  5. Step 5: Solve for x
    x = 52,480,487.28/7,281.78
  6. Step 6: Final answer
    x = 7,207.10

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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.