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Finding the Fourth Proportional to 9,967.80, 14,967.90 and 7,213.80

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Solution

The fourth proportional to 9,967.80, 14,967.90 and 7,213.80 is: 10,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.80 : 14,967.90 = 7,213.80 : x
  2. Step 2: Convert to fraction form
    9,967.80/14,967.90 = 7,213.80/x
  3. Step 3: Cross multiply
    9,967.80x = 14,967.90 × 7,213.80
  4. Step 4: Simplify right side
    9,967.80x = 107,975,437.02
  5. Step 5: Solve for x
    x = 107,975,437.02/9,967.80
  6. Step 6: Final answer
    x = 10,832.42

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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.