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Finding the Fourth Proportional to 8,266.76, 12,398.51 and 2,421.80

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Solution

The fourth proportional to 8,266.76, 12,398.51 and 2,421.80 is: 3,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.76 : 12,398.51 = 2,421.80 : x
  2. Step 2: Convert to fraction form
    8,266.76/12,398.51 = 2,421.80/x
  3. Step 3: Cross multiply
    8,266.76x = 12,398.51 × 2,421.80
  4. Step 4: Simplify right side
    8,266.76x = 30,026,637.42
  5. Step 5: Solve for x
    x = 30,026,637.42/8,266.76
  6. Step 6: Final answer
    x = 3,632.22

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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.