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Finding the Fourth Proportional to 7,989.94, 11,985.76 and 3,063.76

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Solution

The fourth proportional to 7,989.94, 11,985.76 and 3,063.76 is: 4,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989.94 : 11,985.76 = 3,063.76 : x
  2. Step 2: Convert to fraction form
    7,989.94/11,985.76 = 3,063.76/x
  3. Step 3: Cross multiply
    7,989.94x = 11,985.76 × 3,063.76
  4. Step 4: Simplify right side
    7,989.94x = 36,721,492.06
  5. Step 5: Solve for x
    x = 36,721,492.06/7,989.94
  6. Step 6: Final answer
    x = 4,595.97

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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.