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Finding the Fourth Proportional to 21,752.50, 30,018.48 and 11,816.50

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Solution

The fourth proportional to 21,752.50, 30,018.48 and 11,816.50 is: 16,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752.50 : 30,018.48 = 11,816.50 : x
  2. Step 2: Convert to fraction form
    21,752.50/30,018.48 = 11,816.50/x
  3. Step 3: Cross multiply
    21,752.50x = 30,018.48 × 11,816.50
  4. Step 4: Simplify right side
    21,752.50x = 354,713,368.92
  5. Step 5: Solve for x
    x = 354,713,368.92/21,752.50
  6. Step 6: Final answer
    x = 16,306.79

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1.5x scale

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.