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Finding the Fourth Proportional to 7,095.40, 9,790.50 and 3,951

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Solution

The fourth proportional to 7,095.40, 9,790.50 and 3,951 is: 5,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.40 : 9,790.50 = 3,951 : x
  2. Step 2: Convert to fraction form
    7,095.40/9,790.50 = 3,951/x
  3. Step 3: Cross multiply
    7,095.40x = 9,790.50 × 3,951
  4. Step 4: Simplify right side
    7,095.40x = 38,682,265.50
  5. Step 5: Solve for x
    x = 38,682,265.50/7,095.40
  6. Step 6: Final answer
    x = 5,451.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.