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Finding the Fourth Proportional to 10,610.80, 15,911.40 and 4,764.40

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Solution

The fourth proportional to 10,610.80, 15,911.40 and 4,764.40 is: 7,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.80 : 15,911.40 = 4,764.40 : x
  2. Step 2: Convert to fraction form
    10,610.80/15,911.40 = 4,764.40/x
  3. Step 3: Cross multiply
    10,610.80x = 15,911.40 × 4,764.40
  4. Step 4: Simplify right side
    10,610.80x = 75,808,274.16
  5. Step 5: Solve for x
    x = 75,808,274.16/10,610.80
  6. Step 6: Final answer
    x = 7,144.44

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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.