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Finding the Fourth Proportional to 21,237.36, 31,855.68 and 7,386

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Solution

The fourth proportional to 21,237.36, 31,855.68 and 7,386 is: 11,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,237.36 : 31,855.68 = 7,386 : x
  2. Step 2: Convert to fraction form
    21,237.36/31,855.68 = 7,386/x
  3. Step 3: Cross multiply
    21,237.36x = 31,855.68 × 7,386
  4. Step 4: Simplify right side
    21,237.36x = 235,286,052.48
  5. Step 5: Solve for x
    x = 235,286,052.48/21,237.36
  6. Step 6: Final answer
    x = 11,078.87

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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.