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Finding the Fourth Proportional to 8,577, 12,867.66 and 2,421

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Solution

The fourth proportional to 8,577, 12,867.66 and 2,421 is: 3,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577 : 12,867.66 = 2,421 : x
  2. Step 2: Convert to fraction form
    8,577/12,867.66 = 2,421/x
  3. Step 3: Cross multiply
    8,577x = 12,867.66 × 2,421
  4. Step 4: Simplify right side
    8,577x = 31,152,604.86
  5. Step 5: Solve for x
    x = 31,152,604.86/8,577
  6. Step 6: Final answer
    x = 3,632.11

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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.