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Finding the Fourth Proportional to 2,885.40, 3,981.96 and 1,706.40

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Solution

The fourth proportional to 2,885.40, 3,981.96 and 1,706.40 is: 2,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.40 : 3,981.96 = 1,706.40 : x
  2. Step 2: Convert to fraction form
    2,885.40/3,981.96 = 1,706.40/x
  3. Step 3: Cross multiply
    2,885.40x = 3,981.96 × 1,706.40
  4. Step 4: Simplify right side
    2,885.40x = 6,794,816.54
  5. Step 5: Solve for x
    x = 6,794,816.54/2,885.40
  6. Step 6: Final answer
    x = 2,354.90

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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.