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Finding the Fourth Proportional to 25,111, 37,667.28 and 9,319.96

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Solution

The fourth proportional to 25,111, 37,667.28 and 9,319.96 is: 13,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,111 : 37,667.28 = 9,319.96 : x
  2. Step 2: Convert to fraction form
    25,111/37,667.28 = 9,319.96/x
  3. Step 3: Cross multiply
    25,111x = 37,667.28 × 9,319.96
  4. Step 4: Simplify right side
    25,111x = 351,057,542.91
  5. Step 5: Solve for x
    x = 351,057,542.91/25,111
  6. Step 6: Final answer
    x = 13,980.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.