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Finding the Fourth Proportional to 2,606.40, 3,912.48 and 2,448

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Solution

The fourth proportional to 2,606.40, 3,912.48 and 2,448 is: 3,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.40 : 3,912.48 = 2,448 : x
  2. Step 2: Convert to fraction form
    2,606.40/3,912.48 = 2,448/x
  3. Step 3: Cross multiply
    2,606.40x = 3,912.48 × 2,448
  4. Step 4: Simplify right side
    2,606.40x = 9,577,751.04
  5. Step 5: Solve for x
    x = 9,577,751.04/2,606.40
  6. Step 6: Final answer
    x = 3,674.70

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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.