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Finding the Fourth Proportional to 2,740.07, 4,110.11 and 688.07

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Solution

The fourth proportional to 2,740.07, 4,110.11 and 688.07 is: 1,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.07 : 4,110.11 = 688.07 : x
  2. Step 2: Convert to fraction form
    2,740.07/4,110.11 = 688.07/x
  3. Step 3: Cross multiply
    2,740.07x = 4,110.11 × 688.07
  4. Step 4: Simplify right side
    2,740.07x = 2,828,043.39
  5. Step 5: Solve for x
    x = 2,828,043.39/2,740.07
  6. Step 6: Final answer
    x = 1,032.11

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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.