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Finding the Fourth Proportional to 2,707.84, 4,062.04 and 760.04

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Solution

The fourth proportional to 2,707.84, 4,062.04 and 760.04 is: 1,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.84 : 4,062.04 = 760.04 : x
  2. Step 2: Convert to fraction form
    2,707.84/4,062.04 = 760.04/x
  3. Step 3: Cross multiply
    2,707.84x = 4,062.04 × 760.04
  4. Step 4: Simplify right side
    2,707.84x = 3,087,312.88
  5. Step 5: Solve for x
    x = 3,087,312.88/2,707.84
  6. Step 6: Final answer
    x = 1,140.14

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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.