Home / 20,931.88-31,397.82-9,257

Finding the Fourth Proportional to 20,931.88, 31,397.82 and 9,257

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Solution

The fourth proportional to 20,931.88, 31,397.82 and 9,257 is: 13,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931.88 : 31,397.82 = 9,257 : x
  2. Step 2: Convert to fraction form
    20,931.88/31,397.82 = 9,257/x
  3. Step 3: Cross multiply
    20,931.88x = 31,397.82 × 9,257
  4. Step 4: Simplify right side
    20,931.88x = 290,649,619.74
  5. Step 5: Solve for x
    x = 290,649,619.74/20,931.88
  6. Step 6: Final answer
    x = 13,885.50

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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.