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Finding the Fourth Proportional to 27,681.72, 38,200.77 and 17,077.51

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Solution

The fourth proportional to 27,681.72, 38,200.77 and 17,077.51 is: 23,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.72 : 38,200.77 = 17,077.51 : x
  2. Step 2: Convert to fraction form
    27,681.72/38,200.77 = 17,077.51/x
  3. Step 3: Cross multiply
    27,681.72x = 38,200.77 × 17,077.51
  4. Step 4: Simplify right side
    27,681.72x = 652,374,031.68
  5. Step 5: Solve for x
    x = 652,374,031.68/27,681.72
  6. Step 6: Final answer
    x = 23,566.96

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