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Finding the Fourth Proportional to 8,521.51, 11,723.97 and 7,508.65

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Solution

The fourth proportional to 8,521.51, 11,723.97 and 7,508.65 is: 10,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.51 : 11,723.97 = 7,508.65 : x
  2. Step 2: Convert to fraction form
    8,521.51/11,723.97 = 7,508.65/x
  3. Step 3: Cross multiply
    8,521.51x = 11,723.97 × 7,508.65
  4. Step 4: Simplify right side
    8,521.51x = 88,031,187.34
  5. Step 5: Solve for x
    x = 88,031,187.34/8,521.51
  6. Step 6: Final answer
    x = 10,330.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.