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Finding the Fourth Proportional to 7,960.47, 11,938.20 and 2,894.01

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Solution

The fourth proportional to 7,960.47, 11,938.20 and 2,894.01 is: 4,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.47 : 11,938.20 = 2,894.01 : x
  2. Step 2: Convert to fraction form
    7,960.47/11,938.20 = 2,894.01/x
  3. Step 3: Cross multiply
    7,960.47x = 11,938.20 × 2,894.01
  4. Step 4: Simplify right side
    7,960.47x = 34,549,270.18
  5. Step 5: Solve for x
    x = 34,549,270.18/7,960.47
  6. Step 6: Final answer
    x = 4,340.10

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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.