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Finding the Fourth Proportional to 8,570.56, 12,857.52 and 2,726.08

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Solution

The fourth proportional to 8,570.56, 12,857.52 and 2,726.08 is: 4,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.56 : 12,857.52 = 2,726.08 : x
  2. Step 2: Convert to fraction form
    8,570.56/12,857.52 = 2,726.08/x
  3. Step 3: Cross multiply
    8,570.56x = 12,857.52 × 2,726.08
  4. Step 4: Simplify right side
    8,570.56x = 35,050,628.12
  5. Step 5: Solve for x
    x = 35,050,628.12/8,570.56
  6. Step 6: Final answer
    x = 4,089.65

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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.