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Finding the Fourth Proportional to 2,720.07, 4,080.71 and 988.70

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Solution

The fourth proportional to 2,720.07, 4,080.71 and 988.70 is: 1,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.07 : 4,080.71 = 988.70 : x
  2. Step 2: Convert to fraction form
    2,720.07/4,080.71 = 988.70/x
  3. Step 3: Cross multiply
    2,720.07x = 4,080.71 × 988.70
  4. Step 4: Simplify right side
    2,720.07x = 4,034,572.63
  5. Step 5: Solve for x
    x = 4,034,572.63/2,720.07
  6. Step 6: Final answer
    x = 1,483.26

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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.