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Finding the Fourth Proportional to 5,419.80, 8,129.70 and 5,298.30

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Solution

The fourth proportional to 5,419.80, 8,129.70 and 5,298.30 is: 7,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.80 : 8,129.70 = 5,298.30 : x
  2. Step 2: Convert to fraction form
    5,419.80/8,129.70 = 5,298.30/x
  3. Step 3: Cross multiply
    5,419.80x = 8,129.70 × 5,298.30
  4. Step 4: Simplify right side
    5,419.80x = 43,073,589.51
  5. Step 5: Solve for x
    x = 43,073,589.51/5,419.80
  6. Step 6: Final answer
    x = 7,947.45

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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.