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Finding the Fourth Proportional to 19,166, 28,749 and 5,315

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Solution

The fourth proportional to 19,166, 28,749 and 5,315 is: 7,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,166 : 28,749 = 5,315 : x
  2. Step 2: Convert to fraction form
    19,166/28,749 = 5,315/x
  3. Step 3: Cross multiply
    19,166x = 28,749 × 5,315
  4. Step 4: Simplify right side
    19,166x = 152,800,935
  5. Step 5: Solve for x
    x = 152,800,935/19,166
  6. Step 6: Final answer
    x = 7,972.50

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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.