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Finding the Fourth Proportional to 2,855.69, 4,284.09 and 1,006.87

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Solution

The fourth proportional to 2,855.69, 4,284.09 and 1,006.87 is: 1,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.69 : 4,284.09 = 1,006.87 : x
  2. Step 2: Convert to fraction form
    2,855.69/4,284.09 = 1,006.87/x
  3. Step 3: Cross multiply
    2,855.69x = 4,284.09 × 1,006.87
  4. Step 4: Simplify right side
    2,855.69x = 4,313,495.24
  5. Step 5: Solve for x
    x = 4,313,495.24/2,855.69
  6. Step 6: Final answer
    x = 1,510.49

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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.