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Finding the Fourth Proportional to 3,019.32, 4,527.54 and 1,287

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Solution

The fourth proportional to 3,019.32, 4,527.54 and 1,287 is: 1,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.32 : 4,527.54 = 1,287 : x
  2. Step 2: Convert to fraction form
    3,019.32/4,527.54 = 1,287/x
  3. Step 3: Cross multiply
    3,019.32x = 4,527.54 × 1,287
  4. Step 4: Simplify right side
    3,019.32x = 5,826,943.98
  5. Step 5: Solve for x
    x = 5,826,943.98/3,019.32
  6. Step 6: Final answer
    x = 1,929.89

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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.