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Finding the Fourth Proportional to 2,373.58, 3,558.30 and 913.78

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Solution

The fourth proportional to 2,373.58, 3,558.30 and 913.78 is: 1,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.58 : 3,558.30 = 913.78 : x
  2. Step 2: Convert to fraction form
    2,373.58/3,558.30 = 913.78/x
  3. Step 3: Cross multiply
    2,373.58x = 3,558.30 × 913.78
  4. Step 4: Simplify right side
    2,373.58x = 3,251,503.37
  5. Step 5: Solve for x
    x = 3,251,503.37/2,373.58
  6. Step 6: Final answer
    x = 1,369.87

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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.