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Finding the Fourth Proportional to 2,862, 4,284.68 and 2,037.68

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Solution

The fourth proportional to 2,862, 4,284.68 and 2,037.68 is: 3,050.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862 : 4,284.68 = 2,037.68 : x
  2. Step 2: Convert to fraction form
    2,862/4,284.68 = 2,037.68/x
  3. Step 3: Cross multiply
    2,862x = 4,284.68 × 2,037.68
  4. Step 4: Simplify right side
    2,862x = 8,730,806.74
  5. Step 5: Solve for x
    x = 8,730,806.74/2,862
  6. Step 6: Final answer
    x = 3,050.60

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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.