Home / 2,071.58-3,107.70-1,031.66

Finding the Fourth Proportional to 2,071.58, 3,107.70 and 1,031.66

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Solution

The fourth proportional to 2,071.58, 3,107.70 and 1,031.66 is: 1,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.58 : 3,107.70 = 1,031.66 : x
  2. Step 2: Convert to fraction form
    2,071.58/3,107.70 = 1,031.66/x
  3. Step 3: Cross multiply
    2,071.58x = 3,107.70 × 1,031.66
  4. Step 4: Simplify right side
    2,071.58x = 3,206,089.78
  5. Step 5: Solve for x
    x = 3,206,089.78/2,071.58
  6. Step 6: Final answer
    x = 1,547.65

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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.