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Finding the Fourth Proportional to 2,867.76, 4,301.45 and 893.35

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Solution

The fourth proportional to 2,867.76, 4,301.45 and 893.35 is: 1,339.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.76 : 4,301.45 = 893.35 : x
  2. Step 2: Convert to fraction form
    2,867.76/4,301.45 = 893.35/x
  3. Step 3: Cross multiply
    2,867.76x = 4,301.45 × 893.35
  4. Step 4: Simplify right side
    2,867.76x = 3,842,700.36
  5. Step 5: Solve for x
    x = 3,842,700.36/2,867.76
  6. Step 6: Final answer
    x = 1,339.97

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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.