Home / 2,004.32-3,006.84-1,031.60

Finding the Fourth Proportional to 2,004.32, 3,006.84 and 1,031.60

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Solution

The fourth proportional to 2,004.32, 3,006.84 and 1,031.60 is: 1,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.32 : 3,006.84 = 1,031.60 : x
  2. Step 2: Convert to fraction form
    2,004.32/3,006.84 = 1,031.60/x
  3. Step 3: Cross multiply
    2,004.32x = 3,006.84 × 1,031.60
  4. Step 4: Simplify right side
    2,004.32x = 3,101,856.14
  5. Step 5: Solve for x
    x = 3,101,856.14/2,004.32
  6. Step 6: Final answer
    x = 1,547.59

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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.