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Finding the Fourth Proportional to 7,817.10, 11,719.23 and 3,655.05

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Solution

The fourth proportional to 7,817.10, 11,719.23 and 3,655.05 is: 5,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.10 : 11,719.23 = 3,655.05 : x
  2. Step 2: Convert to fraction form
    7,817.10/11,719.23 = 3,655.05/x
  3. Step 3: Cross multiply
    7,817.10x = 11,719.23 × 3,655.05
  4. Step 4: Simplify right side
    7,817.10x = 42,834,371.61
  5. Step 5: Solve for x
    x = 42,834,371.61/7,817.10
  6. Step 6: Final answer
    x = 5,479.57

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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.