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Finding the Fourth Proportional to 2,877.84, 3,971.37 and 1,601.70

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Solution

The fourth proportional to 2,877.84, 3,971.37 and 1,601.70 is: 2,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.84 : 3,971.37 = 1,601.70 : x
  2. Step 2: Convert to fraction form
    2,877.84/3,971.37 = 1,601.70/x
  3. Step 3: Cross multiply
    2,877.84x = 3,971.37 × 1,601.70
  4. Step 4: Simplify right side
    2,877.84x = 6,360,943.33
  5. Step 5: Solve for x
    x = 6,360,943.33/2,877.84
  6. Step 6: Final answer
    x = 2,210.32

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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.