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Finding the Fourth Proportional to 3,607.71, 5,411.39 and 1,142.67

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Solution

The fourth proportional to 3,607.71, 5,411.39 and 1,142.67 is: 1,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.71 : 5,411.39 = 1,142.67 : x
  2. Step 2: Convert to fraction form
    3,607.71/5,411.39 = 1,142.67/x
  3. Step 3: Cross multiply
    3,607.71x = 5,411.39 × 1,142.67
  4. Step 4: Simplify right side
    3,607.71x = 6,183,403.10
  5. Step 5: Solve for x
    x = 6,183,403.10/3,607.71
  6. Step 6: Final answer
    x = 1,713.94

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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.