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Finding the Fourth Proportional to 3,384.90, 4,660.78 and 2,962.89

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Solution

The fourth proportional to 3,384.90, 4,660.78 and 2,962.89 is: 4,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.90 : 4,660.78 = 2,962.89 : x
  2. Step 2: Convert to fraction form
    3,384.90/4,660.78 = 2,962.89/x
  3. Step 3: Cross multiply
    3,384.90x = 4,660.78 × 2,962.89
  4. Step 4: Simplify right side
    3,384.90x = 13,809,390.11
  5. Step 5: Solve for x
    x = 13,809,390.11/3,384.90
  6. Step 6: Final answer
    x = 4,079.70

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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.