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Finding the Fourth Proportional to 1,395.61, 2,093.82 and 421.86

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Solution

The fourth proportional to 1,395.61, 2,093.82 and 421.86 is: 632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.61 : 2,093.82 = 421.86 : x
  2. Step 2: Convert to fraction form
    1,395.61/2,093.82 = 421.86/x
  3. Step 3: Cross multiply
    1,395.61x = 2,093.82 × 421.86
  4. Step 4: Simplify right side
    1,395.61x = 883,298.91
  5. Step 5: Solve for x
    x = 883,298.91/1,395.61
  6. Step 6: Final answer
    x = 632.91

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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.