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Finding the Fourth Proportional to 19,935.10, 27,505.47 and 12,853

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Solution

The fourth proportional to 19,935.10, 27,505.47 and 12,853 is: 17,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,935.10 : 27,505.47 = 12,853 : x
  2. Step 2: Convert to fraction form
    19,935.10/27,505.47 = 12,853/x
  3. Step 3: Cross multiply
    19,935.10x = 27,505.47 × 12,853
  4. Step 4: Simplify right side
    19,935.10x = 353,527,805.91
  5. Step 5: Solve for x
    x = 353,527,805.91/19,935.10
  6. Step 6: Final answer
    x = 17,733.94

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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.