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Finding the Fourth Proportional to 2,469.68, 3,697.68 and 1,973.72

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Solution

The fourth proportional to 2,469.68, 3,697.68 and 1,973.72 is: 2,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.68 : 3,697.68 = 1,973.72 : x
  2. Step 2: Convert to fraction form
    2,469.68/3,697.68 = 1,973.72/x
  3. Step 3: Cross multiply
    2,469.68x = 3,697.68 × 1,973.72
  4. Step 4: Simplify right side
    2,469.68x = 7,298,184.97
  5. Step 5: Solve for x
    x = 7,298,184.97/2,469.68
  6. Step 6: Final answer
    x = 2,955.11

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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.