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Finding the Fourth Proportional to 13,310, 19,965 and 4,076

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Solution

The fourth proportional to 13,310, 19,965 and 4,076 is: 6,114

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310 : 19,965 = 4,076 : x
  2. Step 2: Convert to fraction form
    13,310/19,965 = 4,076/x
  3. Step 3: Cross multiply
    13,310x = 19,965 × 4,076
  4. Step 4: Simplify right side
    13,310x = 81,377,340
  5. Step 5: Solve for x
    x = 81,377,340/13,310
  6. Step 6: Final answer
    x = 6,114

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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.