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Finding the Fourth Proportional to 3,019.46, 4,527.54 and 938.57

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Solution

The fourth proportional to 3,019.46, 4,527.54 and 938.57 is: 1,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.46 : 4,527.54 = 938.57 : x
  2. Step 2: Convert to fraction form
    3,019.46/4,527.54 = 938.57/x
  3. Step 3: Cross multiply
    3,019.46x = 4,527.54 × 938.57
  4. Step 4: Simplify right side
    3,019.46x = 4,249,390.58
  5. Step 5: Solve for x
    x = 4,249,390.58/3,019.46
  6. Step 6: Final answer
    x = 1,407.34

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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.