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Finding the Fourth Proportional to 3,113, 4,295.94 and 1,715.78

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Solution

The fourth proportional to 3,113, 4,295.94 and 1,715.78 is: 2,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113 : 4,295.94 = 1,715.78 : x
  2. Step 2: Convert to fraction form
    3,113/4,295.94 = 1,715.78/x
  3. Step 3: Cross multiply
    3,113x = 4,295.94 × 1,715.78
  4. Step 4: Simplify right side
    3,113x = 7,370,887.93
  5. Step 5: Solve for x
    x = 7,370,887.93/3,113
  6. Step 6: Final answer
    x = 2,367.78

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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.