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Finding the Fourth Proportional to 34,948, 52,422 and 14,171.50

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Solution

The fourth proportional to 34,948, 52,422 and 14,171.50 is: 21,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,948 : 52,422 = 14,171.50 : x
  2. Step 2: Convert to fraction form
    34,948/52,422 = 14,171.50/x
  3. Step 3: Cross multiply
    34,948x = 52,422 × 14,171.50
  4. Step 4: Simplify right side
    34,948x = 742,898,373
  5. Step 5: Solve for x
    x = 742,898,373/34,948
  6. Step 6: Final answer
    x = 21,257.25

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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.