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Finding the Fourth Proportional to 1,859.77, 2,566.44 and 1,031.77

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Solution

The fourth proportional to 1,859.77, 2,566.44 and 1,031.77 is: 1,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.77 : 2,566.44 = 1,031.77 : x
  2. Step 2: Convert to fraction form
    1,859.77/2,566.44 = 1,031.77/x
  3. Step 3: Cross multiply
    1,859.77x = 2,566.44 × 1,031.77
  4. Step 4: Simplify right side
    1,859.77x = 2,647,975.80
  5. Step 5: Solve for x
    x = 2,647,975.80/1,859.77
  6. Step 6: Final answer
    x = 1,423.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.