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Finding the Fourth Proportional to 5,488.40, 8,233.80 and 1,790.80

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Solution

The fourth proportional to 5,488.40, 8,233.80 and 1,790.80 is: 2,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.40 : 8,233.80 = 1,790.80 : x
  2. Step 2: Convert to fraction form
    5,488.40/8,233.80 = 1,790.80/x
  3. Step 3: Cross multiply
    5,488.40x = 8,233.80 × 1,790.80
  4. Step 4: Simplify right side
    5,488.40x = 14,745,089.04
  5. Step 5: Solve for x
    x = 14,745,089.04/5,488.40
  6. Step 6: Final answer
    x = 2,686.59

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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.