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Finding the Fourth Proportional to 9,354.98, 12,909.86 and 5,163.24

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Solution

The fourth proportional to 9,354.98, 12,909.86 and 5,163.24 is: 7,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.98 : 12,909.86 = 5,163.24 : x
  2. Step 2: Convert to fraction form
    9,354.98/12,909.86 = 5,163.24/x
  3. Step 3: Cross multiply
    9,354.98x = 12,909.86 × 5,163.24
  4. Step 4: Simplify right side
    9,354.98x = 66,656,705.55
  5. Step 5: Solve for x
    x = 66,656,705.55/9,354.98
  6. Step 6: Final answer
    x = 7,125.26

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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.