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Finding the Fourth Proportional to 2,740.79, 4,110.71 and 893.22

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Solution

The fourth proportional to 2,740.79, 4,110.71 and 893.22 is: 1,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.79 : 4,110.71 = 893.22 : x
  2. Step 2: Convert to fraction form
    2,740.79/4,110.71 = 893.22/x
  3. Step 3: Cross multiply
    2,740.79x = 4,110.71 × 893.22
  4. Step 4: Simplify right side
    2,740.79x = 3,671,763.92
  5. Step 5: Solve for x
    x = 3,671,763.92/2,740.79
  6. Step 6: Final answer
    x = 1,339.68

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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.