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Finding the Fourth Proportional to 2,876.95, 3,970.25 and 2,248.21

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Solution

The fourth proportional to 2,876.95, 3,970.25 and 2,248.21 is: 3,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.95 : 3,970.25 = 2,248.21 : x
  2. Step 2: Convert to fraction form
    2,876.95/3,970.25 = 2,248.21/x
  3. Step 3: Cross multiply
    2,876.95x = 3,970.25 × 2,248.21
  4. Step 4: Simplify right side
    2,876.95x = 8,925,955.75
  5. Step 5: Solve for x
    x = 8,925,955.75/2,876.95
  6. Step 6: Final answer
    x = 3,102.58

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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.