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Finding the Fourth Proportional to 3,967.64, 5,462.88 and 3,368.90

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Solution

The fourth proportional to 3,967.64, 5,462.88 and 3,368.90 is: 4,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.64 : 5,462.88 = 3,368.90 : x
  2. Step 2: Convert to fraction form
    3,967.64/5,462.88 = 3,368.90/x
  3. Step 3: Cross multiply
    3,967.64x = 5,462.88 × 3,368.90
  4. Step 4: Simplify right side
    3,967.64x = 18,403,869.12
  5. Step 5: Solve for x
    x = 18,403,869.12/3,967.64
  6. Step 6: Final answer
    x = 4,638.50

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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.