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Finding the Fourth Proportional to 3,482.89, 4,808.64 and 2,158

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Solution

The fourth proportional to 3,482.89, 4,808.64 and 2,158 is: 2,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.89 : 4,808.64 = 2,158 : x
  2. Step 2: Convert to fraction form
    3,482.89/4,808.64 = 2,158/x
  3. Step 3: Cross multiply
    3,482.89x = 4,808.64 × 2,158
  4. Step 4: Simplify right side
    3,482.89x = 10,377,045.12
  5. Step 5: Solve for x
    x = 10,377,045.12/3,482.89
  6. Step 6: Final answer
    x = 2,979.44

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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.