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Finding the Fourth Proportional to 9,909.80, 14,867.18 and 6,993.80

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Solution

The fourth proportional to 9,909.80, 14,867.18 and 6,993.80 is: 10,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.80 : 14,867.18 = 6,993.80 : x
  2. Step 2: Convert to fraction form
    9,909.80/14,867.18 = 6,993.80/x
  3. Step 3: Cross multiply
    9,909.80x = 14,867.18 × 6,993.80
  4. Step 4: Simplify right side
    9,909.80x = 103,978,138.14
  5. Step 5: Solve for x
    x = 103,978,138.14/9,909.80
  6. Step 6: Final answer
    x = 10,492.45

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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.