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Finding the Fourth Proportional to 27,666.99, 38,177.88 and 15,728

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Solution

The fourth proportional to 27,666.99, 38,177.88 and 15,728 is: 21,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666.99 : 38,177.88 = 15,728 : x
  2. Step 2: Convert to fraction form
    27,666.99/38,177.88 = 15,728/x
  3. Step 3: Cross multiply
    27,666.99x = 38,177.88 × 15,728
  4. Step 4: Simplify right side
    27,666.99x = 600,461,696.64
  5. Step 5: Solve for x
    x = 600,461,696.64/27,666.99
  6. Step 6: Final answer
    x = 21,703.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.