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Finding the Fourth Proportional to 2,720, 4,070.80 and 2,264.48

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Solution

The fourth proportional to 2,720, 4,070.80 and 2,264.48 is: 3,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720 : 4,070.80 = 2,264.48 : x
  2. Step 2: Convert to fraction form
    2,720/4,070.80 = 2,264.48/x
  3. Step 3: Cross multiply
    2,720x = 4,070.80 × 2,264.48
  4. Step 4: Simplify right side
    2,720x = 9,218,245.18
  5. Step 5: Solve for x
    x = 9,218,245.18/2,720
  6. Step 6: Final answer
    x = 3,389.06

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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.