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Finding the Fourth Proportional to 5,561.60, 7,674 and 3,203.60

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Solution

The fourth proportional to 5,561.60, 7,674 and 3,203.60 is: 4,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.60 : 7,674 = 3,203.60 : x
  2. Step 2: Convert to fraction form
    5,561.60/7,674 = 3,203.60/x
  3. Step 3: Cross multiply
    5,561.60x = 7,674 × 3,203.60
  4. Step 4: Simplify right side
    5,561.60x = 24,584,426.40
  5. Step 5: Solve for x
    x = 24,584,426.40/5,561.60
  6. Step 6: Final answer
    x = 4,420.39

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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.