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Finding the Fourth Proportional to 5,392.47, 8,089.12 and 1,694.69

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Solution

The fourth proportional to 5,392.47, 8,089.12 and 1,694.69 is: 2,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.47 : 8,089.12 = 1,694.69 : x
  2. Step 2: Convert to fraction form
    5,392.47/8,089.12 = 1,694.69/x
  3. Step 3: Cross multiply
    5,392.47x = 8,089.12 × 1,694.69
  4. Step 4: Simplify right side
    5,392.47x = 13,708,533.25
  5. Step 5: Solve for x
    x = 13,708,533.25/5,392.47
  6. Step 6: Final answer
    x = 2,542.16

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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.