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Finding the Fourth Proportional to 9,750.78, 14,614.02 and 3,904.20

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Solution

The fourth proportional to 9,750.78, 14,614.02 and 3,904.20 is: 5,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.78 : 14,614.02 = 3,904.20 : x
  2. Step 2: Convert to fraction form
    9,750.78/14,614.02 = 3,904.20/x
  3. Step 3: Cross multiply
    9,750.78x = 14,614.02 × 3,904.20
  4. Step 4: Simplify right side
    9,750.78x = 57,056,056.88
  5. Step 5: Solve for x
    x = 57,056,056.88/9,750.78
  6. Step 6: Final answer
    x = 5,851.44

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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.