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Finding the Fourth Proportional to 8,937.68, 13,408.77 and 5,243

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Solution

The fourth proportional to 8,937.68, 13,408.77 and 5,243 is: 7,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937.68 : 13,408.77 = 5,243 : x
  2. Step 2: Convert to fraction form
    8,937.68/13,408.77 = 5,243/x
  3. Step 3: Cross multiply
    8,937.68x = 13,408.77 × 5,243
  4. Step 4: Simplify right side
    8,937.68x = 70,302,181.11
  5. Step 5: Solve for x
    x = 70,302,181.11/8,937.68
  6. Step 6: Final answer
    x = 7,865.82

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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.