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Finding the Fourth Proportional to 21,809.70, 30,097.53 and 12,378.42

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Solution

The fourth proportional to 21,809.70, 30,097.53 and 12,378.42 is: 17,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.70 : 30,097.53 = 12,378.42 : x
  2. Step 2: Convert to fraction form
    21,809.70/30,097.53 = 12,378.42/x
  3. Step 3: Cross multiply
    21,809.70x = 30,097.53 × 12,378.42
  4. Step 4: Simplify right side
    21,809.70x = 372,559,867.30
  5. Step 5: Solve for x
    x = 372,559,867.30/21,809.70
  6. Step 6: Final answer
    x = 17,082.30

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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.