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Finding the Fourth Proportional to 21,073.65, 31,598.16 and 7,927.05

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Solution

The fourth proportional to 21,073.65, 31,598.16 and 7,927.05 is: 11,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073.65 : 31,598.16 = 7,927.05 : x
  2. Step 2: Convert to fraction form
    21,073.65/31,598.16 = 7,927.05/x
  3. Step 3: Cross multiply
    21,073.65x = 31,598.16 × 7,927.05
  4. Step 4: Simplify right side
    21,073.65x = 250,480,194.23
  5. Step 5: Solve for x
    x = 250,480,194.23/21,073.65
  6. Step 6: Final answer
    x = 11,885.94

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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.