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Finding the Fourth Proportional to 1,777.58, 2,453.06 and 1,031.68

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Solution

The fourth proportional to 1,777.58, 2,453.06 and 1,031.68 is: 1,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.58 : 2,453.06 = 1,031.68 : x
  2. Step 2: Convert to fraction form
    1,777.58/2,453.06 = 1,031.68/x
  3. Step 3: Cross multiply
    1,777.58x = 2,453.06 × 1,031.68
  4. Step 4: Simplify right side
    1,777.58x = 2,530,772.94
  5. Step 5: Solve for x
    x = 2,530,772.94/1,777.58
  6. Step 6: Final answer
    x = 1,423.72

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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.