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Finding the Fourth Proportional to 27,837.12, 38,411.04 and 15,897.93

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Solution

The fourth proportional to 27,837.12, 38,411.04 and 15,897.93 is: 21,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837.12 : 38,411.04 = 15,897.93 : x
  2. Step 2: Convert to fraction form
    27,837.12/38,411.04 = 15,897.93/x
  3. Step 3: Cross multiply
    27,837.12x = 38,411.04 × 15,897.93
  4. Step 4: Simplify right side
    27,837.12x = 610,656,025.15
  5. Step 5: Solve for x
    x = 610,656,025.15/27,837.12
  6. Step 6: Final answer
    x = 21,936.75

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1.5x scale

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.