Home / 3,106.71-4,657.82-1,026.09

Finding the Fourth Proportional to 3,106.71, 4,657.82 and 1,026.09

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Solution

The fourth proportional to 3,106.71, 4,657.82 and 1,026.09 is: 1,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.71 : 4,657.82 = 1,026.09 : x
  2. Step 2: Convert to fraction form
    3,106.71/4,657.82 = 1,026.09/x
  3. Step 3: Cross multiply
    3,106.71x = 4,657.82 × 1,026.09
  4. Step 4: Simplify right side
    3,106.71x = 4,779,337.39
  5. Step 5: Solve for x
    x = 4,779,337.39/3,106.71
  6. Step 6: Final answer
    x = 1,538.39

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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.