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Finding the Fourth Proportional to 7,890.40, 11,811.30 and 6,481

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Solution

The fourth proportional to 7,890.40, 11,811.30 and 6,481 is: 9,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.40 : 11,811.30 = 6,481 : x
  2. Step 2: Convert to fraction form
    7,890.40/11,811.30 = 6,481/x
  3. Step 3: Cross multiply
    7,890.40x = 11,811.30 × 6,481
  4. Step 4: Simplify right side
    7,890.40x = 76,549,035.30
  5. Step 5: Solve for x
    x = 76,549,035.30/7,890.40
  6. Step 6: Final answer
    x = 9,701.54

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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.