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Finding the Fourth Proportional to 27,522, 37,978.86 and 15,585.48

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Solution

The fourth proportional to 27,522, 37,978.86 and 15,585.48 is: 21,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522 : 37,978.86 = 15,585.48 : x
  2. Step 2: Convert to fraction form
    27,522/37,978.86 = 15,585.48/x
  3. Step 3: Cross multiply
    27,522x = 37,978.86 × 15,585.48
  4. Step 4: Simplify right side
    27,522x = 591,918,762.95
  5. Step 5: Solve for x
    x = 591,918,762.95/27,522
  6. Step 6: Final answer
    x = 21,507.11

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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.