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Finding the Fourth Proportional to 11,142.84, 15,377 and 6,107.34

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Solution

The fourth proportional to 11,142.84, 15,377 and 6,107.34 is: 8,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.84 : 15,377 = 6,107.34 : x
  2. Step 2: Convert to fraction form
    11,142.84/15,377 = 6,107.34/x
  3. Step 3: Cross multiply
    11,142.84x = 15,377 × 6,107.34
  4. Step 4: Simplify right side
    11,142.84x = 93,912,567.18
  5. Step 5: Solve for x
    x = 93,912,567.18/11,142.84
  6. Step 6: Final answer
    x = 8,428.06

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1.5x scale

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.