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Finding the Fourth Proportional to 7,894.31, 11,838.51 and 2,895.06

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Solution

The fourth proportional to 7,894.31, 11,838.51 and 2,895.06 is: 4,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.31 : 11,838.51 = 2,895.06 : x
  2. Step 2: Convert to fraction form
    7,894.31/11,838.51 = 2,895.06/x
  3. Step 3: Cross multiply
    7,894.31x = 11,838.51 × 2,895.06
  4. Step 4: Simplify right side
    7,894.31x = 34,273,196.76
  5. Step 5: Solve for x
    x = 34,273,196.76/7,894.31
  6. Step 6: Final answer
    x = 4,341.51

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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.