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Finding the Fourth Proportional to 2,902.92, 4,006.64 and 1,854.80

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Solution

The fourth proportional to 2,902.92, 4,006.64 and 1,854.80 is: 2,560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.92 : 4,006.64 = 1,854.80 : x
  2. Step 2: Convert to fraction form
    2,902.92/4,006.64 = 1,854.80/x
  3. Step 3: Cross multiply
    2,902.92x = 4,006.64 × 1,854.80
  4. Step 4: Simplify right side
    2,902.92x = 7,431,515.87
  5. Step 5: Solve for x
    x = 7,431,515.87/2,902.92
  6. Step 6: Final answer
    x = 2,560.01

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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.