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Finding the Fourth Proportional to 2,652.48, 3,981.51 and 1,266.98

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Solution

The fourth proportional to 2,652.48, 3,981.51 and 1,266.98 is: 1,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.48 : 3,981.51 = 1,266.98 : x
  2. Step 2: Convert to fraction form
    2,652.48/3,981.51 = 1,266.98/x
  3. Step 3: Cross multiply
    2,652.48x = 3,981.51 × 1,266.98
  4. Step 4: Simplify right side
    2,652.48x = 5,044,473.63
  5. Step 5: Solve for x
    x = 5,044,473.63/2,652.48
  6. Step 6: Final answer
    x = 1,901.80

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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.