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Finding the Fourth Proportional to 8,453.84, 12,654.78 and 7,617.31

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Solution

The fourth proportional to 8,453.84, 12,654.78 and 7,617.31 is: 11,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.84 : 12,654.78 = 7,617.31 : x
  2. Step 2: Convert to fraction form
    8,453.84/12,654.78 = 7,617.31/x
  3. Step 3: Cross multiply
    8,453.84x = 12,654.78 × 7,617.31
  4. Step 4: Simplify right side
    8,453.84x = 96,395,364.89
  5. Step 5: Solve for x
    x = 96,395,364.89/8,453.84
  6. Step 6: Final answer
    x = 11,402.56

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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.