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Finding the Fourth Proportional to 3,903.64, 5,854.82 and 1,437.86

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Solution

The fourth proportional to 3,903.64, 5,854.82 and 1,437.86 is: 2,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.64 : 5,854.82 = 1,437.86 : x
  2. Step 2: Convert to fraction form
    3,903.64/5,854.82 = 1,437.86/x
  3. Step 3: Cross multiply
    3,903.64x = 5,854.82 × 1,437.86
  4. Step 4: Simplify right side
    3,903.64x = 8,418,411.49
  5. Step 5: Solve for x
    x = 8,418,411.49/3,903.64
  6. Step 6: Final answer
    x = 2,156.55

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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.