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Finding the Fourth Proportional to 8,570.47, 12,856.73 and 3,022.66

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Solution

The fourth proportional to 8,570.47, 12,856.73 and 3,022.66 is: 4,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.47 : 12,856.73 = 3,022.66 : x
  2. Step 2: Convert to fraction form
    8,570.47/12,856.73 = 3,022.66/x
  3. Step 3: Cross multiply
    8,570.47x = 12,856.73 × 3,022.66
  4. Step 4: Simplify right side
    8,570.47x = 38,861,523.50
  5. Step 5: Solve for x
    x = 38,861,523.50/8,570.47
  6. Step 6: Final answer
    x = 4,534.35

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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.