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Finding the Fourth Proportional to 21,049.74, 31,565.97 and 7,895.34

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Solution

The fourth proportional to 21,049.74, 31,565.97 and 7,895.34 is: 11,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049.74 : 31,565.97 = 7,895.34 : x
  2. Step 2: Convert to fraction form
    21,049.74/31,565.97 = 7,895.34/x
  3. Step 3: Cross multiply
    21,049.74x = 31,565.97 × 7,895.34
  4. Step 4: Simplify right side
    21,049.74x = 249,224,065.58
  5. Step 5: Solve for x
    x = 249,224,065.58/21,049.74
  6. Step 6: Final answer
    x = 11,839.77

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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.