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Finding the Fourth Proportional to 3,078.86, 4,248.10 and 2,284.01

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Solution

The fourth proportional to 3,078.86, 4,248.10 and 2,284.01 is: 3,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.86 : 4,248.10 = 2,284.01 : x
  2. Step 2: Convert to fraction form
    3,078.86/4,248.10 = 2,284.01/x
  3. Step 3: Cross multiply
    3,078.86x = 4,248.10 × 2,284.01
  4. Step 4: Simplify right side
    3,078.86x = 9,702,711.47
  5. Step 5: Solve for x
    x = 9,702,711.47/3,078.86
  6. Step 6: Final answer
    x = 3,151.40

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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.