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Finding the Fourth Proportional to 3,006.42, 4,509.63 and 1,972.97

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Solution

The fourth proportional to 3,006.42, 4,509.63 and 1,972.97 is: 2,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.42 : 4,509.63 = 1,972.97 : x
  2. Step 2: Convert to fraction form
    3,006.42/4,509.63 = 1,972.97/x
  3. Step 3: Cross multiply
    3,006.42x = 4,509.63 × 1,972.97
  4. Step 4: Simplify right side
    3,006.42x = 8,897,342.15
  5. Step 5: Solve for x
    x = 8,897,342.15/3,006.42
  6. Step 6: Final answer
    x = 2,959.45

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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.