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Finding the Fourth Proportional to 7,892.50, 11,838.84 and 2,048.76

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Solution

The fourth proportional to 7,892.50, 11,838.84 and 2,048.76 is: 3,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.50 : 11,838.84 = 2,048.76 : x
  2. Step 2: Convert to fraction form
    7,892.50/11,838.84 = 2,048.76/x
  3. Step 3: Cross multiply
    7,892.50x = 11,838.84 × 2,048.76
  4. Step 4: Simplify right side
    7,892.50x = 24,254,941.84
  5. Step 5: Solve for x
    x = 24,254,941.84/7,892.50
  6. Step 6: Final answer
    x = 3,073.16

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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.