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Finding the Fourth Proportional to 5,742.10, 8,612.43 and 3,655.90

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Solution

The fourth proportional to 5,742.10, 8,612.43 and 3,655.90 is: 5,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.10 : 8,612.43 = 3,655.90 : x
  2. Step 2: Convert to fraction form
    5,742.10/8,612.43 = 3,655.90/x
  3. Step 3: Cross multiply
    5,742.10x = 8,612.43 × 3,655.90
  4. Step 4: Simplify right side
    5,742.10x = 31,486,182.84
  5. Step 5: Solve for x
    x = 31,486,182.84/5,742.10
  6. Step 6: Final answer
    x = 5,483.39

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1.5x scale

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.