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Finding the Fourth Proportional to 5,471.40, 8,207.10 and 5,202.60

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Solution

The fourth proportional to 5,471.40, 8,207.10 and 5,202.60 is: 7,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.40 : 8,207.10 = 5,202.60 : x
  2. Step 2: Convert to fraction form
    5,471.40/8,207.10 = 5,202.60/x
  3. Step 3: Cross multiply
    5,471.40x = 8,207.10 × 5,202.60
  4. Step 4: Simplify right side
    5,471.40x = 42,698,258.46
  5. Step 5: Solve for x
    x = 42,698,258.46/5,471.40
  6. Step 6: Final answer
    x = 7,803.90

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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.