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Finding the Fourth Proportional to 8,570.51, 12,855.79 and 3,020.82

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Solution

The fourth proportional to 8,570.51, 12,855.79 and 3,020.82 is: 4,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.51 : 12,855.79 = 3,020.82 : x
  2. Step 2: Convert to fraction form
    8,570.51/12,855.79 = 3,020.82/x
  3. Step 3: Cross multiply
    8,570.51x = 12,855.79 × 3,020.82
  4. Step 4: Simplify right side
    8,570.51x = 38,835,027.55
  5. Step 5: Solve for x
    x = 38,835,027.55/8,570.51
  6. Step 6: Final answer
    x = 4,531.24

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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.