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Finding the Fourth Proportional to 21,092.88, 31,642.74 and 7,946.40

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Solution

The fourth proportional to 21,092.88, 31,642.74 and 7,946.40 is: 11,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092.88 : 31,642.74 = 7,946.40 : x
  2. Step 2: Convert to fraction form
    21,092.88/31,642.74 = 7,946.40/x
  3. Step 3: Cross multiply
    21,092.88x = 31,642.74 × 7,946.40
  4. Step 4: Simplify right side
    21,092.88x = 251,445,869.14
  5. Step 5: Solve for x
    x = 251,445,869.14/21,092.88
  6. Step 6: Final answer
    x = 11,920.89

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1.5x scale

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.