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Finding the Fourth Proportional to 5,813.71, 8,720.57 and 1,431.17

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Solution

The fourth proportional to 5,813.71, 8,720.57 and 1,431.17 is: 2,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.71 : 8,720.57 = 1,431.17 : x
  2. Step 2: Convert to fraction form
    5,813.71/8,720.57 = 1,431.17/x
  3. Step 3: Cross multiply
    5,813.71x = 8,720.57 × 1,431.17
  4. Step 4: Simplify right side
    5,813.71x = 12,480,572.78
  5. Step 5: Solve for x
    x = 12,480,572.78/5,813.71
  6. Step 6: Final answer
    x = 2,146.75

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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.