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Finding the Fourth Proportional to 6,800.75, 10,199.53 and 1,870.77

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Solution

The fourth proportional to 6,800.75, 10,199.53 and 1,870.77 is: 2,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.75 : 10,199.53 = 1,870.77 : x
  2. Step 2: Convert to fraction form
    6,800.75/10,199.53 = 1,870.77/x
  3. Step 3: Cross multiply
    6,800.75x = 10,199.53 × 1,870.77
  4. Step 4: Simplify right side
    6,800.75x = 19,080,974.74
  5. Step 5: Solve for x
    x = 19,080,974.74/6,800.75
  6. Step 6: Final answer
    x = 2,805.72

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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.