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Finding the Fourth Proportional to 34,685.28, 47,871 and 19,584

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Solution

The fourth proportional to 34,685.28, 47,871 and 19,584 is: 27,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,685.28 : 47,871 = 19,584 : x
  2. Step 2: Convert to fraction form
    34,685.28/47,871 = 19,584/x
  3. Step 3: Cross multiply
    34,685.28x = 47,871 × 19,584
  4. Step 4: Simplify right side
    34,685.28x = 937,505,664
  5. Step 5: Solve for x
    x = 937,505,664/34,685.28
  6. Step 6: Final answer
    x = 27,028.92

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Why These Related Problems?

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