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Finding the Fourth Proportional to 27,642, 38,147.48 and 15,066.48

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Solution

The fourth proportional to 27,642, 38,147.48 and 15,066.48 is: 20,792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642 : 38,147.48 = 15,066.48 : x
  2. Step 2: Convert to fraction form
    27,642/38,147.48 = 15,066.48/x
  3. Step 3: Cross multiply
    27,642x = 38,147.48 × 15,066.48
  4. Step 4: Simplify right side
    27,642x = 574,748,244.47
  5. Step 5: Solve for x
    x = 574,748,244.47/27,642
  6. Step 6: Final answer
    x = 20,792.57

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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.