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Finding the Fourth Proportional to 3,006.45, 4,148.78 and 1,747.45

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Solution

The fourth proportional to 3,006.45, 4,148.78 and 1,747.45 is: 2,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.45 : 4,148.78 = 1,747.45 : x
  2. Step 2: Convert to fraction form
    3,006.45/4,148.78 = 1,747.45/x
  3. Step 3: Cross multiply
    3,006.45x = 4,148.78 × 1,747.45
  4. Step 4: Simplify right side
    3,006.45x = 7,249,764.87
  5. Step 5: Solve for x
    x = 7,249,764.87/3,006.45
  6. Step 6: Final answer
    x = 2,411.40

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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.