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Finding the Fourth Proportional to 1,885.77, 2,600.78 and 1,213.68

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Solution

The fourth proportional to 1,885.77, 2,600.78 and 1,213.68 is: 1,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.77 : 2,600.78 = 1,213.68 : x
  2. Step 2: Convert to fraction form
    1,885.77/2,600.78 = 1,213.68/x
  3. Step 3: Cross multiply
    1,885.77x = 2,600.78 × 1,213.68
  4. Step 4: Simplify right side
    1,885.77x = 3,156,508.60
  5. Step 5: Solve for x
    x = 3,156,508.60/1,885.77
  6. Step 6: Final answer
    x = 1,673.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.