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Finding the Fourth Proportional to 5,323.98, 7,987.69 and 3,478.70

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Solution

The fourth proportional to 5,323.98, 7,987.69 and 3,478.70 is: 5,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.98 : 7,987.69 = 3,478.70 : x
  2. Step 2: Convert to fraction form
    5,323.98/7,987.69 = 3,478.70/x
  3. Step 3: Cross multiply
    5,323.98x = 7,987.69 × 3,478.70
  4. Step 4: Simplify right side
    5,323.98x = 27,786,777.20
  5. Step 5: Solve for x
    x = 27,786,777.20/5,323.98
  6. Step 6: Final answer
    x = 5,219.17

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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.