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Finding the Fourth Proportional to 5,377, 8,066.40 and 1,678.66

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Solution

The fourth proportional to 5,377, 8,066.40 and 1,678.66 is: 2,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377 : 8,066.40 = 1,678.66 : x
  2. Step 2: Convert to fraction form
    5,377/8,066.40 = 1,678.66/x
  3. Step 3: Cross multiply
    5,377x = 8,066.40 × 1,678.66
  4. Step 4: Simplify right side
    5,377x = 13,540,743.02
  5. Step 5: Solve for x
    x = 13,540,743.02/5,377
  6. Step 6: Final answer
    x = 2,518.27

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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.