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Finding the Fourth Proportional to 2,497.51, 3,748.61 and 1,265.79

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Solution

The fourth proportional to 2,497.51, 3,748.61 and 1,265.79 is: 1,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.51 : 3,748.61 = 1,265.79 : x
  2. Step 2: Convert to fraction form
    2,497.51/3,748.61 = 1,265.79/x
  3. Step 3: Cross multiply
    2,497.51x = 3,748.61 × 1,265.79
  4. Step 4: Simplify right side
    2,497.51x = 4,744,953.05
  5. Step 5: Solve for x
    x = 4,744,953.05/2,497.51
  6. Step 6: Final answer
    x = 1,899.87

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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.