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Finding the Fourth Proportional to 4,199.42, 6,307.42 and 2,642.20

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Solution

The fourth proportional to 4,199.42, 6,307.42 and 2,642.20 is: 3,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.42 : 6,307.42 = 2,642.20 : x
  2. Step 2: Convert to fraction form
    4,199.42/6,307.42 = 2,642.20/x
  3. Step 3: Cross multiply
    4,199.42x = 6,307.42 × 2,642.20
  4. Step 4: Simplify right side
    4,199.42x = 16,665,465.12
  5. Step 5: Solve for x
    x = 16,665,465.12/4,199.42
  6. Step 6: Final answer
    x = 3,968.52

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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.