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Finding the Fourth Proportional to 5,200.40, 7,800.91 and 1,690.42

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Solution

The fourth proportional to 5,200.40, 7,800.91 and 1,690.42 is: 2,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.40 : 7,800.91 = 1,690.42 : x
  2. Step 2: Convert to fraction form
    5,200.40/7,800.91 = 1,690.42/x
  3. Step 3: Cross multiply
    5,200.40x = 7,800.91 × 1,690.42
  4. Step 4: Simplify right side
    5,200.40x = 13,186,805.18
  5. Step 5: Solve for x
    x = 13,186,805.18/5,200.40
  6. Step 6: Final answer
    x = 2,535.73

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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.