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Finding the Fourth Proportional to 2,977.92, 4,109.82 and 2,479.68

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Solution

The fourth proportional to 2,977.92, 4,109.82 and 2,479.68 is: 3,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.92 : 4,109.82 = 2,479.68 : x
  2. Step 2: Convert to fraction form
    2,977.92/4,109.82 = 2,479.68/x
  3. Step 3: Cross multiply
    2,977.92x = 4,109.82 × 2,479.68
  4. Step 4: Simplify right side
    2,977.92x = 10,191,038.46
  5. Step 5: Solve for x
    x = 10,191,038.46/2,977.92
  6. Step 6: Final answer
    x = 3,422.20

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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.