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Finding the Fourth Proportional to 7,019.96, 9,689.68 and 4,189.40

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Solution

The fourth proportional to 7,019.96, 9,689.68 and 4,189.40 is: 5,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.96 : 9,689.68 = 4,189.40 : x
  2. Step 2: Convert to fraction form
    7,019.96/9,689.68 = 4,189.40/x
  3. Step 3: Cross multiply
    7,019.96x = 9,689.68 × 4,189.40
  4. Step 4: Simplify right side
    7,019.96x = 40,593,945.39
  5. Step 5: Solve for x
    x = 40,593,945.39/7,019.96
  6. Step 6: Final answer
    x = 5,782.65

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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.