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Finding the Fourth Proportional to 2,649.92, 3,657.76 and 1,766.00

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Solution

The fourth proportional to 2,649.92, 3,657.76 and 1,766.00 is: 2,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.92 : 3,657.76 = 1,766.00 : x
  2. Step 2: Convert to fraction form
    2,649.92/3,657.76 = 1,766.00/x
  3. Step 3: Cross multiply
    2,649.92x = 3,657.76 × 1,766.00
  4. Step 4: Simplify right side
    2,649.92x = 6,459,608.89
  5. Step 5: Solve for x
    x = 6,459,608.89/2,649.92
  6. Step 6: Final answer
    x = 2,437.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.