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Finding the Fourth Proportional to 3,525.67, 5,290.80 and 1,678.87

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Solution

The fourth proportional to 3,525.67, 5,290.80 and 1,678.87 is: 2,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.67 : 5,290.80 = 1,678.87 : x
  2. Step 2: Convert to fraction form
    3,525.67/5,290.80 = 1,678.87/x
  3. Step 3: Cross multiply
    3,525.67x = 5,290.80 × 1,678.87
  4. Step 4: Simplify right side
    3,525.67x = 8,882,565.40
  5. Step 5: Solve for x
    x = 8,882,565.40/3,525.67
  6. Step 6: Final answer
    x = 2,519.40

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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.