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Finding the Fourth Proportional to 5,645.56, 8,465.04 and 1,946.20

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Solution

The fourth proportional to 5,645.56, 8,465.04 and 1,946.20 is: 2,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.56 : 8,465.04 = 1,946.20 : x
  2. Step 2: Convert to fraction form
    5,645.56/8,465.04 = 1,946.20/x
  3. Step 3: Cross multiply
    5,645.56x = 8,465.04 × 1,946.20
  4. Step 4: Simplify right side
    5,645.56x = 16,474,660.85
  5. Step 5: Solve for x
    x = 16,474,660.85/5,645.56
  6. Step 6: Final answer
    x = 2,918.16

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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.