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Finding the Fourth Proportional to 9,822.78, 13,555.53 and 5,631

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Solution

The fourth proportional to 9,822.78, 13,555.53 and 5,631 is: 7,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.78 : 13,555.53 = 5,631 : x
  2. Step 2: Convert to fraction form
    9,822.78/13,555.53 = 5,631/x
  3. Step 3: Cross multiply
    9,822.78x = 13,555.53 × 5,631
  4. Step 4: Simplify right side
    9,822.78x = 76,331,189.43
  5. Step 5: Solve for x
    x = 76,331,189.43/9,822.78
  6. Step 6: Final answer
    x = 7,770.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.