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Finding the Fourth Proportional to 19,967.70, 29,962.08 and 15,284.82

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Solution

The fourth proportional to 19,967.70, 29,962.08 and 15,284.82 is: 22,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967.70 : 29,962.08 = 15,284.82 : x
  2. Step 2: Convert to fraction form
    19,967.70/29,962.08 = 15,284.82/x
  3. Step 3: Cross multiply
    19,967.70x = 29,962.08 × 15,284.82
  4. Step 4: Simplify right side
    19,967.70x = 457,964,999.63
  5. Step 5: Solve for x
    x = 457,964,999.63/19,967.70
  6. Step 6: Final answer
    x = 22,935.29

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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.