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Finding the Fourth Proportional to 27,597.84, 41,384.47 and 7,871.78

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Solution

The fourth proportional to 27,597.84, 41,384.47 and 7,871.78 is: 11,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597.84 : 41,384.47 = 7,871.78 : x
  2. Step 2: Convert to fraction form
    27,597.84/41,384.47 = 7,871.78/x
  3. Step 3: Cross multiply
    27,597.84x = 41,384.47 × 7,871.78
  4. Step 4: Simplify right side
    27,597.84x = 325,769,443.26
  5. Step 5: Solve for x
    x = 325,769,443.26/27,597.84
  6. Step 6: Final answer
    x = 11,804.16

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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.