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Finding the Fourth Proportional to 8,289.84, 12,438.53 and 7,589.09

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Solution

The fourth proportional to 8,289.84, 12,438.53 and 7,589.09 is: 11,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.84 : 12,438.53 = 7,589.09 : x
  2. Step 2: Convert to fraction form
    8,289.84/12,438.53 = 7,589.09/x
  3. Step 3: Cross multiply
    8,289.84x = 12,438.53 × 7,589.09
  4. Step 4: Simplify right side
    8,289.84x = 94,397,123.64
  5. Step 5: Solve for x
    x = 94,397,123.64/8,289.84
  6. Step 6: Final answer
    x = 11,387.09

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1.5x scale

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.