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Finding the Fourth Proportional to 21,809.53, 30,098.70 and 12,378.70

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Solution

The fourth proportional to 21,809.53, 30,098.70 and 12,378.70 is: 17,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.53 : 30,098.70 = 12,378.70 : x
  2. Step 2: Convert to fraction form
    21,809.53/30,098.70 = 12,378.70/x
  3. Step 3: Cross multiply
    21,809.53x = 30,098.70 × 12,378.70
  4. Step 4: Simplify right side
    21,809.53x = 372,582,777.69
  5. Step 5: Solve for x
    x = 372,582,777.69/21,809.53
  6. Step 6: Final answer
    x = 17,083.48

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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.