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Finding the Fourth Proportional to 5,319.53, 7,982.94 and 1,856.78

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Solution

The fourth proportional to 5,319.53, 7,982.94 and 1,856.78 is: 2,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.53 : 7,982.94 = 1,856.78 : x
  2. Step 2: Convert to fraction form
    5,319.53/7,982.94 = 1,856.78/x
  3. Step 3: Cross multiply
    5,319.53x = 7,982.94 × 1,856.78
  4. Step 4: Simplify right side
    5,319.53x = 14,822,587.93
  5. Step 5: Solve for x
    x = 14,822,587.93/5,319.53
  6. Step 6: Final answer
    x = 2,786.45

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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.