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Finding the Fourth Proportional to 9,952.26, 13,645.10 and 9,774.56

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Solution

The fourth proportional to 9,952.26, 13,645.10 and 9,774.56 is: 13,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.26 : 13,645.10 = 9,774.56 : x
  2. Step 2: Convert to fraction form
    9,952.26/13,645.10 = 9,774.56/x
  3. Step 3: Cross multiply
    9,952.26x = 13,645.10 × 9,774.56
  4. Step 4: Simplify right side
    9,952.26x = 133,374,848.66
  5. Step 5: Solve for x
    x = 133,374,848.66/9,952.26
  6. Step 6: Final answer
    x = 13,401.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.