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Finding the Fourth Proportional to 5,710.68, 7,873.74 and 4,138.20

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Solution

The fourth proportional to 5,710.68, 7,873.74 and 4,138.20 is: 5,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.68 : 7,873.74 = 4,138.20 : x
  2. Step 2: Convert to fraction form
    5,710.68/7,873.74 = 4,138.20/x
  3. Step 3: Cross multiply
    5,710.68x = 7,873.74 × 4,138.20
  4. Step 4: Simplify right side
    5,710.68x = 32,583,110.87
  5. Step 5: Solve for x
    x = 32,583,110.87/5,710.68
  6. Step 6: Final answer
    x = 5,705.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.