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Finding the Fourth Proportional to 6,202.50, 8,554.78 and 5,023.14

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Solution

The fourth proportional to 6,202.50, 8,554.78 and 5,023.14 is: 6,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.50 : 8,554.78 = 5,023.14 : x
  2. Step 2: Convert to fraction form
    6,202.50/8,554.78 = 5,023.14/x
  3. Step 3: Cross multiply
    6,202.50x = 8,554.78 × 5,023.14
  4. Step 4: Simplify right side
    6,202.50x = 42,971,857.61
  5. Step 5: Solve for x
    x = 42,971,857.61/6,202.50
  6. Step 6: Final answer
    x = 6,928.15

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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.