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Finding the Fourth Proportional to 3,007.80, 4,150.89 and 1,681.50

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Solution

The fourth proportional to 3,007.80, 4,150.89 and 1,681.50 is: 2,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.80 : 4,150.89 = 1,681.50 : x
  2. Step 2: Convert to fraction form
    3,007.80/4,150.89 = 1,681.50/x
  3. Step 3: Cross multiply
    3,007.80x = 4,150.89 × 1,681.50
  4. Step 4: Simplify right side
    3,007.80x = 6,979,721.54
  5. Step 5: Solve for x
    x = 6,979,721.54/3,007.80
  6. Step 6: Final answer
    x = 2,320.54

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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.