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Finding the Fourth Proportional to 2,981.92, 4,463.04 and 2,878.24

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Solution

The fourth proportional to 2,981.92, 4,463.04 and 2,878.24 is: 4,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.92 : 4,463.04 = 2,878.24 : x
  2. Step 2: Convert to fraction form
    2,981.92/4,463.04 = 2,878.24/x
  3. Step 3: Cross multiply
    2,981.92x = 4,463.04 × 2,878.24
  4. Step 4: Simplify right side
    2,981.92x = 12,845,700.25
  5. Step 5: Solve for x
    x = 12,845,700.25/2,981.92
  6. Step 6: Final answer
    x = 4,307.86

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1.5x scale

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.