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Finding the Fourth Proportional to 8,493, 12,740.40 and 2,337

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Solution

The fourth proportional to 8,493, 12,740.40 and 2,337 is: 3,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493 : 12,740.40 = 2,337 : x
  2. Step 2: Convert to fraction form
    8,493/12,740.40 = 2,337/x
  3. Step 3: Cross multiply
    8,493x = 12,740.40 × 2,337
  4. Step 4: Simplify right side
    8,493x = 29,774,314.80
  5. Step 5: Solve for x
    x = 29,774,314.80/8,493
  6. Step 6: Final answer
    x = 3,505.75

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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.