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Finding the Fourth Proportional to 7,191.57, 9,871.35 and 6,388.05

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Solution

The fourth proportional to 7,191.57, 9,871.35 and 6,388.05 is: 8,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.57 : 9,871.35 = 6,388.05 : x
  2. Step 2: Convert to fraction form
    7,191.57/9,871.35 = 6,388.05/x
  3. Step 3: Cross multiply
    7,191.57x = 9,871.35 × 6,388.05
  4. Step 4: Simplify right side
    7,191.57x = 63,058,677.37
  5. Step 5: Solve for x
    x = 63,058,677.37/7,191.57
  6. Step 6: Final answer
    x = 8,768.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.