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Finding the Fourth Proportional to 5,786.86, 7,987.47 and 3,430.30

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Solution

The fourth proportional to 5,786.86, 7,987.47 and 3,430.30 is: 4,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.86 : 7,987.47 = 3,430.30 : x
  2. Step 2: Convert to fraction form
    5,786.86/7,987.47 = 3,430.30/x
  3. Step 3: Cross multiply
    5,786.86x = 7,987.47 × 3,430.30
  4. Step 4: Simplify right side
    5,786.86x = 27,399,418.34
  5. Step 5: Solve for x
    x = 27,399,418.34/5,786.86
  6. Step 6: Final answer
    x = 4,734.76

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1.5x scale

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.