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Finding the Fourth Proportional to 9,740.70, 14,610.78 and 2,815.20

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Solution

The fourth proportional to 9,740.70, 14,610.78 and 2,815.20 is: 4,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.70 : 14,610.78 = 2,815.20 : x
  2. Step 2: Convert to fraction form
    9,740.70/14,610.78 = 2,815.20/x
  3. Step 3: Cross multiply
    9,740.70x = 14,610.78 × 2,815.20
  4. Step 4: Simplify right side
    9,740.70x = 41,132,267.86
  5. Step 5: Solve for x
    x = 41,132,267.86/9,740.70
  6. Step 6: Final answer
    x = 4,222.72

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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.