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Finding the Fourth Proportional to 6,859.42, 10,289.16 and 1,665.29

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Solution

The fourth proportional to 6,859.42, 10,289.16 and 1,665.29 is: 2,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.42 : 10,289.16 = 1,665.29 : x
  2. Step 2: Convert to fraction form
    6,859.42/10,289.16 = 1,665.29/x
  3. Step 3: Cross multiply
    6,859.42x = 10,289.16 × 1,665.29
  4. Step 4: Simplify right side
    6,859.42x = 17,134,460.98
  5. Step 5: Solve for x
    x = 17,134,460.98/6,859.42
  6. Step 6: Final answer
    x = 2,497.95

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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.