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Finding the Fourth Proportional to 8,536.32, 12,743.46 and 7,927.20

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Solution

The fourth proportional to 8,536.32, 12,743.46 and 7,927.20 is: 11,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.32 : 12,743.46 = 7,927.20 : x
  2. Step 2: Convert to fraction form
    8,536.32/12,743.46 = 7,927.20/x
  3. Step 3: Cross multiply
    8,536.32x = 12,743.46 × 7,927.20
  4. Step 4: Simplify right side
    8,536.32x = 101,019,956.11
  5. Step 5: Solve for x
    x = 101,019,956.11/8,536.32
  6. Step 6: Final answer
    x = 11,834.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.