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Finding the Fourth Proportional to 19,901.12, 29,864.64 and 7,589.12

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Solution

The fourth proportional to 19,901.12, 29,864.64 and 7,589.12 is: 11,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901.12 : 29,864.64 = 7,589.12 : x
  2. Step 2: Convert to fraction form
    19,901.12/29,864.64 = 7,589.12/x
  3. Step 3: Cross multiply
    19,901.12x = 29,864.64 × 7,589.12
  4. Step 4: Simplify right side
    19,901.12x = 226,646,336.72
  5. Step 5: Solve for x
    x = 226,646,336.72/19,901.12
  6. Step 6: Final answer
    x = 11,388.62

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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.