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Finding the Fourth Proportional to 7,022.68, 9,690.72 and 4,189.84

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Solution

The fourth proportional to 7,022.68, 9,690.72 and 4,189.84 is: 5,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.68 : 9,690.72 = 4,189.84 : x
  2. Step 2: Convert to fraction form
    7,022.68/9,690.72 = 4,189.84/x
  3. Step 3: Cross multiply
    7,022.68x = 9,690.72 × 4,189.84
  4. Step 4: Simplify right side
    7,022.68x = 40,602,566.28
  5. Step 5: Solve for x
    x = 40,602,566.28/7,022.68
  6. Step 6: Final answer
    x = 5,781.63

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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.