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Finding the Fourth Proportional to 19,145.24, 28,714.62 and 5,291

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Solution

The fourth proportional to 19,145.24, 28,714.62 and 5,291 is: 7,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,145.24 : 28,714.62 = 5,291 : x
  2. Step 2: Convert to fraction form
    19,145.24/28,714.62 = 5,291/x
  3. Step 3: Cross multiply
    19,145.24x = 28,714.62 × 5,291
  4. Step 4: Simplify right side
    19,145.24x = 151,929,054.42
  5. Step 5: Solve for x
    x = 151,929,054.42/19,145.24
  6. Step 6: Final answer
    x = 7,935.60

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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.