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Finding the Fourth Proportional to 5,640.42, 8,462.04 and 2,130.42

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Solution

The fourth proportional to 5,640.42, 8,462.04 and 2,130.42 is: 3,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.42 : 8,462.04 = 2,130.42 : x
  2. Step 2: Convert to fraction form
    5,640.42/8,462.04 = 2,130.42/x
  3. Step 3: Cross multiply
    5,640.42x = 8,462.04 × 2,130.42
  4. Step 4: Simplify right side
    5,640.42x = 18,027,699.26
  5. Step 5: Solve for x
    x = 18,027,699.26/5,640.42
  6. Step 6: Final answer
    x = 3,196.16

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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.