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Finding the Fourth Proportional to 3,657.57, 5,047.57 and 2,064.60

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Solution

The fourth proportional to 3,657.57, 5,047.57 and 2,064.60 is: 2,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.57 : 5,047.57 = 2,064.60 : x
  2. Step 2: Convert to fraction form
    3,657.57/5,047.57 = 2,064.60/x
  3. Step 3: Cross multiply
    3,657.57x = 5,047.57 × 2,064.60
  4. Step 4: Simplify right side
    3,657.57x = 10,421,221.91
  5. Step 5: Solve for x
    x = 10,421,221.91/3,657.57
  6. Step 6: Final answer
    x = 2,849.22

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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.