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Finding the Fourth Proportional to 7,156, 10,734.36 and 2,539.36

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Solution

The fourth proportional to 7,156, 10,734.36 and 2,539.36 is: 3,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156 : 10,734.36 = 2,539.36 : x
  2. Step 2: Convert to fraction form
    7,156/10,734.36 = 2,539.36/x
  3. Step 3: Cross multiply
    7,156x = 10,734.36 × 2,539.36
  4. Step 4: Simplify right side
    7,156x = 27,258,404.41
  5. Step 5: Solve for x
    x = 27,258,404.41/7,156
  6. Step 6: Final answer
    x = 3,809.17

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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.