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Finding the Fourth Proportional to 4,677.62, 7,016.43 and 1,390.74

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Solution

The fourth proportional to 4,677.62, 7,016.43 and 1,390.74 is: 2,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.62 : 7,016.43 = 1,390.74 : x
  2. Step 2: Convert to fraction form
    4,677.62/7,016.43 = 1,390.74/x
  3. Step 3: Cross multiply
    4,677.62x = 7,016.43 × 1,390.74
  4. Step 4: Simplify right side
    4,677.62x = 9,758,029.86
  5. Step 5: Solve for x
    x = 9,758,029.86/4,677.62
  6. Step 6: Final answer
    x = 2,086.11

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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.