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Finding the Fourth Proportional to 4,724.39, 7,086.40 and 1,214.42

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Solution

The fourth proportional to 4,724.39, 7,086.40 and 1,214.42 is: 1,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.39 : 7,086.40 = 1,214.42 : x
  2. Step 2: Convert to fraction form
    4,724.39/7,086.40 = 1,214.42/x
  3. Step 3: Cross multiply
    4,724.39x = 7,086.40 × 1,214.42
  4. Step 4: Simplify right side
    4,724.39x = 8,605,827.42
  5. Step 5: Solve for x
    x = 8,605,827.42/4,724.39
  6. Step 6: Final answer
    x = 1,821.57

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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.