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Finding the Fourth Proportional to 2,497.79, 3,749.00 and 1,266.05

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Solution

The fourth proportional to 2,497.79, 3,749.00 and 1,266.05 is: 1,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.79 : 3,749.00 = 1,266.05 : x
  2. Step 2: Convert to fraction form
    2,497.79/3,749.00 = 1,266.05/x
  3. Step 3: Cross multiply
    2,497.79x = 3,749.00 × 1,266.05
  4. Step 4: Simplify right side
    2,497.79x = 4,746,424.49
  5. Step 5: Solve for x
    x = 4,746,424.49/2,497.79
  6. Step 6: Final answer
    x = 1,900.25

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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.