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Finding the Fourth Proportional to 2,780.80, 3,817.06 and 2,459.00

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Solution

The fourth proportional to 2,780.80, 3,817.06 and 2,459.00 is: 3,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.80 : 3,817.06 = 2,459.00 : x
  2. Step 2: Convert to fraction form
    2,780.80/3,817.06 = 2,459.00/x
  3. Step 3: Cross multiply
    2,780.80x = 3,817.06 × 2,459.00
  4. Step 4: Simplify right side
    2,780.80x = 9,386,153.94
  5. Step 5: Solve for x
    x = 9,386,153.94/2,780.80
  6. Step 6: Final answer
    x = 3,375.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.