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Finding the Fourth Proportional to 8,271.32, 12,408.80 and 4,578.93

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Solution

The fourth proportional to 8,271.32, 12,408.80 and 4,578.93 is: 6,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.32 : 12,408.80 = 4,578.93 : x
  2. Step 2: Convert to fraction form
    8,271.32/12,408.80 = 4,578.93/x
  3. Step 3: Cross multiply
    8,271.32x = 12,408.80 × 4,578.93
  4. Step 4: Simplify right side
    8,271.32x = 56,819,057.61
  5. Step 5: Solve for x
    x = 56,819,057.61/8,271.32
  6. Step 6: Final answer
    x = 6,869.41

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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.