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Finding the Fourth Proportional to 30,361, 41,898.50 and 17,113

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Solution

The fourth proportional to 30,361, 41,898.50 and 17,113 is: 23,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,361 : 41,898.50 = 17,113 : x
  2. Step 2: Convert to fraction form
    30,361/41,898.50 = 17,113/x
  3. Step 3: Cross multiply
    30,361x = 41,898.50 × 17,113
  4. Step 4: Simplify right side
    30,361x = 717,009,030.50
  5. Step 5: Solve for x
    x = 717,009,030.50/30,361
  6. Step 6: Final answer
    x = 23,616.12

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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.