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Finding the Fourth Proportional to 5,788, 7,987.50 and 3,304

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Solution

The fourth proportional to 5,788, 7,987.50 and 3,304 is: 4,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788 : 7,987.50 = 3,304 : x
  2. Step 2: Convert to fraction form
    5,788/7,987.50 = 3,304/x
  3. Step 3: Cross multiply
    5,788x = 7,987.50 × 3,304
  4. Step 4: Simplify right side
    5,788x = 26,390,700
  5. Step 5: Solve for x
    x = 26,390,700/5,788
  6. Step 6: Final answer
    x = 4,559.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.