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Finding the Fourth Proportional to 3,397.62, 4,678.47 and 3,116.91

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Solution

The fourth proportional to 3,397.62, 4,678.47 and 3,116.91 is: 4,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.62 : 4,678.47 = 3,116.91 : x
  2. Step 2: Convert to fraction form
    3,397.62/4,678.47 = 3,116.91/x
  3. Step 3: Cross multiply
    3,397.62x = 4,678.47 × 3,116.91
  4. Step 4: Simplify right side
    3,397.62x = 14,582,369.93
  5. Step 5: Solve for x
    x = 14,582,369.93/3,397.62
  6. Step 6: Final answer
    x = 4,291.94

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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.