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Finding the Fourth Proportional to 5,684.60, 7,845 and 3,445.76

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Solution

The fourth proportional to 5,684.60, 7,845 and 3,445.76 is: 4,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.60 : 7,845 = 3,445.76 : x
  2. Step 2: Convert to fraction form
    5,684.60/7,845 = 3,445.76/x
  3. Step 3: Cross multiply
    5,684.60x = 7,845 × 3,445.76
  4. Step 4: Simplify right side
    5,684.60x = 27,031,987.20
  5. Step 5: Solve for x
    x = 27,031,987.20/5,684.60
  6. Step 6: Final answer
    x = 4,755.30

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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.