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Finding the Fourth Proportional to 9,796.80, 14,695.20 and 9,723.90

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Solution

The fourth proportional to 9,796.80, 14,695.20 and 9,723.90 is: 14,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.80 : 14,695.20 = 9,723.90 : x
  2. Step 2: Convert to fraction form
    9,796.80/14,695.20 = 9,723.90/x
  3. Step 3: Cross multiply
    9,796.80x = 14,695.20 × 9,723.90
  4. Step 4: Simplify right side
    9,796.80x = 142,894,655.28
  5. Step 5: Solve for x
    x = 142,894,655.28/9,796.80
  6. Step 6: Final answer
    x = 14,585.85

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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.