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Finding the Fourth Proportional to 4,660.13, 6,990.17 and 1,886.78

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Solution

The fourth proportional to 4,660.13, 6,990.17 and 1,886.78 is: 2,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.13 : 6,990.17 = 1,886.78 : x
  2. Step 2: Convert to fraction form
    4,660.13/6,990.17 = 1,886.78/x
  3. Step 3: Cross multiply
    4,660.13x = 6,990.17 × 1,886.78
  4. Step 4: Simplify right side
    4,660.13x = 13,188,868.57
  5. Step 5: Solve for x
    x = 13,188,868.57/4,660.13
  6. Step 6: Final answer
    x = 2,830.15

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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.