Home / 1,357.45-2,031.56-837.78

Finding the Fourth Proportional to 1,357.45, 2,031.56 and 837.78

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Solution

The fourth proportional to 1,357.45, 2,031.56 and 837.78 is: 1,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.45 : 2,031.56 = 837.78 : x
  2. Step 2: Convert to fraction form
    1,357.45/2,031.56 = 837.78/x
  3. Step 3: Cross multiply
    1,357.45x = 2,031.56 × 837.78
  4. Step 4: Simplify right side
    1,357.45x = 1,702,000.34
  5. Step 5: Solve for x
    x = 1,702,000.34/1,357.45
  6. Step 6: Final answer
    x = 1,253.82

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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.