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Finding the Fourth Proportional to 4,901.65, 6,766.88 and 3,780.14

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Solution

The fourth proportional to 4,901.65, 6,766.88 and 3,780.14 is: 5,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.65 : 6,766.88 = 3,780.14 : x
  2. Step 2: Convert to fraction form
    4,901.65/6,766.88 = 3,780.14/x
  3. Step 3: Cross multiply
    4,901.65x = 6,766.88 × 3,780.14
  4. Step 4: Simplify right side
    4,901.65x = 25,579,701.03
  5. Step 5: Solve for x
    x = 25,579,701.03/4,901.65
  6. Step 6: Final answer
    x = 5,218.59

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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.