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Finding the Fourth Proportional to 6,689.96, 10,041.17 and 3,405.51

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Solution

The fourth proportional to 6,689.96, 10,041.17 and 3,405.51 is: 5,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.96 : 10,041.17 = 3,405.51 : x
  2. Step 2: Convert to fraction form
    6,689.96/10,041.17 = 3,405.51/x
  3. Step 3: Cross multiply
    6,689.96x = 10,041.17 × 3,405.51
  4. Step 4: Simplify right side
    6,689.96x = 34,195,319.42
  5. Step 5: Solve for x
    x = 34,195,319.42/6,689.96
  6. Step 6: Final answer
    x = 5,111.44

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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.