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Finding the Fourth Proportional to 6,889.62, 10,334.36 and 1,695.50

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Solution

The fourth proportional to 6,889.62, 10,334.36 and 1,695.50 is: 2,543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.62 : 10,334.36 = 1,695.50 : x
  2. Step 2: Convert to fraction form
    6,889.62/10,334.36 = 1,695.50/x
  3. Step 3: Cross multiply
    6,889.62x = 10,334.36 × 1,695.50
  4. Step 4: Simplify right side
    6,889.62x = 17,521,859.95
  5. Step 5: Solve for x
    x = 17,521,859.95/6,889.62
  6. Step 6: Final answer
    x = 2,543.23

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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.