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Finding the Fourth Proportional to 11,475, 17,218.98 and 5,319

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Solution

The fourth proportional to 11,475, 17,218.98 and 5,319 is: 7,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475 : 17,218.98 = 5,319 : x
  2. Step 2: Convert to fraction form
    11,475/17,218.98 = 5,319/x
  3. Step 3: Cross multiply
    11,475x = 17,218.98 × 5,319
  4. Step 4: Simplify right side
    11,475x = 91,587,754.62
  5. Step 5: Solve for x
    x = 91,587,754.62/11,475
  6. Step 6: Final answer
    x = 7,981.50

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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.