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Finding the Fourth Proportional to 5,649.08, 7,790.64 and 3,657.56

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Solution

The fourth proportional to 5,649.08, 7,790.64 and 3,657.56 is: 5,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.08 : 7,790.64 = 3,657.56 : x
  2. Step 2: Convert to fraction form
    5,649.08/7,790.64 = 3,657.56/x
  3. Step 3: Cross multiply
    5,649.08x = 7,790.64 × 3,657.56
  4. Step 4: Simplify right side
    5,649.08x = 28,494,733.24
  5. Step 5: Solve for x
    x = 28,494,733.24/5,649.08
  6. Step 6: Final answer
    x = 5,044.14

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1.5x scale

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.