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Finding the Fourth Proportional to 6,657.78, 9,989.02 and 2,959.67

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Solution

The fourth proportional to 6,657.78, 9,989.02 and 2,959.67 is: 4,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.78 : 9,989.02 = 2,959.67 : x
  2. Step 2: Convert to fraction form
    6,657.78/9,989.02 = 2,959.67/x
  3. Step 3: Cross multiply
    6,657.78x = 9,989.02 × 2,959.67
  4. Step 4: Simplify right side
    6,657.78x = 29,564,202.82
  5. Step 5: Solve for x
    x = 29,564,202.82/6,657.78
  6. Step 6: Final answer
    x = 4,440.55

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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.