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Finding the Fourth Proportional to 2,942.84, 4,392.24 and 2,894.24

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Solution

The fourth proportional to 2,942.84, 4,392.24 and 2,894.24 is: 4,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.84 : 4,392.24 = 2,894.24 : x
  2. Step 2: Convert to fraction form
    2,942.84/4,392.24 = 2,894.24/x
  3. Step 3: Cross multiply
    2,942.84x = 4,392.24 × 2,894.24
  4. Step 4: Simplify right side
    2,942.84x = 12,712,196.70
  5. Step 5: Solve for x
    x = 12,712,196.70/2,942.84
  6. Step 6: Final answer
    x = 4,319.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.