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Finding the Fourth Proportional to 7,909.02, 11,862.18 and 2,647.67

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Solution

The fourth proportional to 7,909.02, 11,862.18 and 2,647.67 is: 3,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.02 : 11,862.18 = 2,647.67 : x
  2. Step 2: Convert to fraction form
    7,909.02/11,862.18 = 2,647.67/x
  3. Step 3: Cross multiply
    7,909.02x = 11,862.18 × 2,647.67
  4. Step 4: Simplify right side
    7,909.02x = 31,407,078.81
  5. Step 5: Solve for x
    x = 31,407,078.81/7,909.02
  6. Step 6: Final answer
    x = 3,971.05

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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.