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Finding the Fourth Proportional to 3,837.65, 5,298.21 and 3,616.21

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Solution

The fourth proportional to 3,837.65, 5,298.21 and 3,616.21 is: 4,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.65 : 5,298.21 = 3,616.21 : x
  2. Step 2: Convert to fraction form
    3,837.65/5,298.21 = 3,616.21/x
  3. Step 3: Cross multiply
    3,837.65x = 5,298.21 × 3,616.21
  4. Step 4: Simplify right side
    3,837.65x = 19,159,446.61
  5. Step 5: Solve for x
    x = 19,159,446.61/3,837.65
  6. Step 6: Final answer
    x = 4,992.50

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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.