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Finding the Fourth Proportional to 10,807.56, 14,909.11 and 7,223.40

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Solution

The fourth proportional to 10,807.56, 14,909.11 and 7,223.40 is: 9,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.56 : 14,909.11 = 7,223.40 : x
  2. Step 2: Convert to fraction form
    10,807.56/14,909.11 = 7,223.40/x
  3. Step 3: Cross multiply
    10,807.56x = 14,909.11 × 7,223.40
  4. Step 4: Simplify right side
    10,807.56x = 107,694,447.12
  5. Step 5: Solve for x
    x = 107,694,447.12/10,807.56
  6. Step 6: Final answer
    x = 9,964.73

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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.