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Finding the Fourth Proportional to 3,967.61, 5,462.81 and 3,368.91

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Solution

The fourth proportional to 3,967.61, 5,462.81 and 3,368.91 is: 4,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.61 : 5,462.81 = 3,368.91 : x
  2. Step 2: Convert to fraction form
    3,967.61/5,462.81 = 3,368.91/x
  3. Step 3: Cross multiply
    3,967.61x = 5,462.81 × 3,368.91
  4. Step 4: Simplify right side
    3,967.61x = 18,403,715.24
  5. Step 5: Solve for x
    x = 18,403,715.24/3,967.61
  6. Step 6: Final answer
    x = 4,638.49

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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.