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Finding the Fourth Proportional to 9,757.78, 13,465.62 and 5,281.43

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Solution

The fourth proportional to 9,757.78, 13,465.62 and 5,281.43 is: 7,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.78 : 13,465.62 = 5,281.43 : x
  2. Step 2: Convert to fraction form
    9,757.78/13,465.62 = 5,281.43/x
  3. Step 3: Cross multiply
    9,757.78x = 13,465.62 × 5,281.43
  4. Step 4: Simplify right side
    9,757.78x = 71,117,729.44
  5. Step 5: Solve for x
    x = 71,117,729.44/9,757.78
  6. Step 6: Final answer
    x = 7,288.31

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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.