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Finding the Fourth Proportional to 3,654.80, 5,482.56 and 1,346

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Solution

The fourth proportional to 3,654.80, 5,482.56 and 1,346 is: 2,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.80 : 5,482.56 = 1,346 : x
  2. Step 2: Convert to fraction form
    3,654.80/5,482.56 = 1,346/x
  3. Step 3: Cross multiply
    3,654.80x = 5,482.56 × 1,346
  4. Step 4: Simplify right side
    3,654.80x = 7,379,525.76
  5. Step 5: Solve for x
    x = 7,379,525.76/3,654.80
  6. Step 6: Final answer
    x = 2,019.13

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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.