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Finding the Fourth Proportional to 8,570.70, 12,864.15 and 5,290.20

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Solution

The fourth proportional to 8,570.70, 12,864.15 and 5,290.20 is: 7,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.70 : 12,864.15 = 5,290.20 : x
  2. Step 2: Convert to fraction form
    8,570.70/12,864.15 = 5,290.20/x
  3. Step 3: Cross multiply
    8,570.70x = 12,864.15 × 5,290.20
  4. Step 4: Simplify right side
    8,570.70x = 68,053,926.33
  5. Step 5: Solve for x
    x = 68,053,926.33/8,570.70
  6. Step 6: Final answer
    x = 7,940.30

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1.5x scale

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.