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Finding the Fourth Proportional to 13,760.74, 18,997.70 and 9,058.69

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Solution

The fourth proportional to 13,760.74, 18,997.70 and 9,058.69 is: 12,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.74 : 18,997.70 = 9,058.69 : x
  2. Step 2: Convert to fraction form
    13,760.74/18,997.70 = 9,058.69/x
  3. Step 3: Cross multiply
    13,760.74x = 18,997.70 × 9,058.69
  4. Step 4: Simplify right side
    13,760.74x = 172,094,182.23
  5. Step 5: Solve for x
    x = 172,094,182.23/13,760.74
  6. Step 6: Final answer
    x = 12,506.17

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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.