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Finding the Fourth Proportional to 19,825.36, 29,689.44 and 9,412

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Solution

The fourth proportional to 19,825.36, 29,689.44 and 9,412 is: 14,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.36 : 29,689.44 = 9,412 : x
  2. Step 2: Convert to fraction form
    19,825.36/29,689.44 = 9,412/x
  3. Step 3: Cross multiply
    19,825.36x = 29,689.44 × 9,412
  4. Step 4: Simplify right side
    19,825.36x = 279,437,009.28
  5. Step 5: Solve for x
    x = 279,437,009.28/19,825.36
  6. Step 6: Final answer
    x = 14,094.93

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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.