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Finding the Fourth Proportional to 5,720.66, 7,889.10 and 3,730.49

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Solution

The fourth proportional to 5,720.66, 7,889.10 and 3,730.49 is: 5,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.66 : 7,889.10 = 3,730.49 : x
  2. Step 2: Convert to fraction form
    5,720.66/7,889.10 = 3,730.49/x
  3. Step 3: Cross multiply
    5,720.66x = 7,889.10 × 3,730.49
  4. Step 4: Simplify right side
    5,720.66x = 29,430,184.81
  5. Step 5: Solve for x
    x = 29,430,184.81/5,720.66
  6. Step 6: Final answer
    x = 5,144.54

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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.