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Finding the Fourth Proportional to 7,811.35, 11,710.60 and 3,649.30

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Solution

The fourth proportional to 7,811.35, 11,710.60 and 3,649.30 is: 5,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.35 : 11,710.60 = 3,649.30 : x
  2. Step 2: Convert to fraction form
    7,811.35/11,710.60 = 3,649.30/x
  3. Step 3: Cross multiply
    7,811.35x = 11,710.60 × 3,649.30
  4. Step 4: Simplify right side
    7,811.35x = 42,735,492.58
  5. Step 5: Solve for x
    x = 42,735,492.58/7,811.35
  6. Step 6: Final answer
    x = 5,470.95

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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.