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Finding the Fourth Proportional to 19,851.69, 27,395.65 and 10,900

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Solution

The fourth proportional to 19,851.69, 27,395.65 and 10,900 is: 15,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.69 : 27,395.65 = 10,900 : x
  2. Step 2: Convert to fraction form
    19,851.69/27,395.65 = 10,900/x
  3. Step 3: Cross multiply
    19,851.69x = 27,395.65 × 10,900
  4. Step 4: Simplify right side
    19,851.69x = 298,612,585
  5. Step 5: Solve for x
    x = 298,612,585/19,851.69
  6. Step 6: Final answer
    x = 15,042.17

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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.