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Finding the Fourth Proportional to 3,389.72, 4,678.20 and 2,064.20

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Solution

The fourth proportional to 3,389.72, 4,678.20 and 2,064.20 is: 2,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.72 : 4,678.20 = 2,064.20 : x
  2. Step 2: Convert to fraction form
    3,389.72/4,678.20 = 2,064.20/x
  3. Step 3: Cross multiply
    3,389.72x = 4,678.20 × 2,064.20
  4. Step 4: Simplify right side
    3,389.72x = 9,656,717.05
  5. Step 5: Solve for x
    x = 9,656,717.05/3,389.72
  6. Step 6: Final answer
    x = 2,848.83

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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.