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Finding the Fourth Proportional to 3,654.72, 5,482.08 and 1,315.04

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Solution

The fourth proportional to 3,654.72, 5,482.08 and 1,315.04 is: 1,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.72 : 5,482.08 = 1,315.04 : x
  2. Step 2: Convert to fraction form
    3,654.72/5,482.08 = 1,315.04/x
  3. Step 3: Cross multiply
    3,654.72x = 5,482.08 × 1,315.04
  4. Step 4: Simplify right side
    3,654.72x = 7,209,127.07
  5. Step 5: Solve for x
    x = 7,209,127.07/3,654.72
  6. Step 6: Final answer
    x = 1,972.55

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1.5x scale

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.