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Finding the Fourth Proportional to 5,145.50, 7,718.26 and 1,447.40

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Solution

The fourth proportional to 5,145.50, 7,718.26 and 1,447.40 is: 2,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.50 : 7,718.26 = 1,447.40 : x
  2. Step 2: Convert to fraction form
    5,145.50/7,718.26 = 1,447.40/x
  3. Step 3: Cross multiply
    5,145.50x = 7,718.26 × 1,447.40
  4. Step 4: Simplify right side
    5,145.50x = 11,171,409.52
  5. Step 5: Solve for x
    x = 11,171,409.52/5,145.50
  6. Step 6: Final answer
    x = 2,171.10

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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.