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Finding the Fourth Proportional to 6,707.70, 10,062.45 and 2,811.20

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Solution

The fourth proportional to 6,707.70, 10,062.45 and 2,811.20 is: 4,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.70 : 10,062.45 = 2,811.20 : x
  2. Step 2: Convert to fraction form
    6,707.70/10,062.45 = 2,811.20/x
  3. Step 3: Cross multiply
    6,707.70x = 10,062.45 × 2,811.20
  4. Step 4: Simplify right side
    6,707.70x = 28,287,509.13
  5. Step 5: Solve for x
    x = 28,287,509.13/6,707.70
  6. Step 6: Final answer
    x = 4,217.17

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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.