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Finding the Fourth Proportional to 3,047.32, 4,570.96 and 856.03

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Solution

The fourth proportional to 3,047.32, 4,570.96 and 856.03 is: 1,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.32 : 4,570.96 = 856.03 : x
  2. Step 2: Convert to fraction form
    3,047.32/4,570.96 = 856.03/x
  3. Step 3: Cross multiply
    3,047.32x = 4,570.96 × 856.03
  4. Step 4: Simplify right side
    3,047.32x = 3,912,874.61
  5. Step 5: Solve for x
    x = 3,912,874.61/3,047.32
  6. Step 6: Final answer
    x = 1,284.04

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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.