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Finding the Fourth Proportional to 7,187.67, 9,919.20 and 4,354.44

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Solution

The fourth proportional to 7,187.67, 9,919.20 and 4,354.44 is: 6,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.67 : 9,919.20 = 4,354.44 : x
  2. Step 2: Convert to fraction form
    7,187.67/9,919.20 = 4,354.44/x
  3. Step 3: Cross multiply
    7,187.67x = 9,919.20 × 4,354.44
  4. Step 4: Simplify right side
    7,187.67x = 43,192,561.25
  5. Step 5: Solve for x
    x = 43,192,561.25/7,187.67
  6. Step 6: Final answer
    x = 6,009.26

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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.