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Finding the Fourth Proportional to 6,689.16, 10,027.10 and 3,172.94

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Solution

The fourth proportional to 6,689.16, 10,027.10 and 3,172.94 is: 4,756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.16 : 10,027.10 = 3,172.94 : x
  2. Step 2: Convert to fraction form
    6,689.16/10,027.10 = 3,172.94/x
  3. Step 3: Cross multiply
    6,689.16x = 10,027.10 × 3,172.94
  4. Step 4: Simplify right side
    6,689.16x = 31,815,386.67
  5. Step 5: Solve for x
    x = 31,815,386.67/6,689.16
  6. Step 6: Final answer
    x = 4,756.26

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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.