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Finding the Fourth Proportional to 19,981.28, 29,980.02 and 10,123.32

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Solution

The fourth proportional to 19,981.28, 29,980.02 and 10,123.32 is: 15,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,981.28 : 29,980.02 = 10,123.32 : x
  2. Step 2: Convert to fraction form
    19,981.28/29,980.02 = 10,123.32/x
  3. Step 3: Cross multiply
    19,981.28x = 29,980.02 × 10,123.32
  4. Step 4: Simplify right side
    19,981.28x = 303,497,336.07
  5. Step 5: Solve for x
    x = 303,497,336.07/19,981.28
  6. Step 6: Final answer
    x = 15,189.08

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1.5x scale

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.