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Finding the Fourth Proportional to 5,272, 7,908.48 and 1,809.28

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Solution

The fourth proportional to 5,272, 7,908.48 and 1,809.28 is: 2,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272 : 7,908.48 = 1,809.28 : x
  2. Step 2: Convert to fraction form
    5,272/7,908.48 = 1,809.28/x
  3. Step 3: Cross multiply
    5,272x = 7,908.48 × 1,809.28
  4. Step 4: Simplify right side
    5,272x = 14,308,654.69
  5. Step 5: Solve for x
    x = 14,308,654.69/5,272
  6. Step 6: Final answer
    x = 2,714.08

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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.