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Finding the Fourth Proportional to 3,781.74, 5,671.50 and 1,590.06

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Solution

The fourth proportional to 3,781.74, 5,671.50 and 1,590.06 is: 2,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.74 : 5,671.50 = 1,590.06 : x
  2. Step 2: Convert to fraction form
    3,781.74/5,671.50 = 1,590.06/x
  3. Step 3: Cross multiply
    3,781.74x = 5,671.50 × 1,590.06
  4. Step 4: Simplify right side
    3,781.74x = 9,018,025.29
  5. Step 5: Solve for x
    x = 9,018,025.29/3,781.74
  6. Step 6: Final answer
    x = 2,384.62

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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.