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Finding the Fourth Proportional to 3,719.76, 5,579.76 and 1,770.96

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Solution

The fourth proportional to 3,719.76, 5,579.76 and 1,770.96 is: 2,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.76 : 5,579.76 = 1,770.96 : x
  2. Step 2: Convert to fraction form
    3,719.76/5,579.76 = 1,770.96/x
  3. Step 3: Cross multiply
    3,719.76x = 5,579.76 × 1,770.96
  4. Step 4: Simplify right side
    3,719.76x = 9,881,531.77
  5. Step 5: Solve for x
    x = 9,881,531.77/3,719.76
  6. Step 6: Final answer
    x = 2,656.50

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1.5x scale

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.