Home / 1,511.88-2,272.14-742.92

Finding the Fourth Proportional to 1,511.88, 2,272.14 and 742.92

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Solution

The fourth proportional to 1,511.88, 2,272.14 and 742.92 is: 1,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.88 : 2,272.14 = 742.92 : x
  2. Step 2: Convert to fraction form
    1,511.88/2,272.14 = 742.92/x
  3. Step 3: Cross multiply
    1,511.88x = 2,272.14 × 742.92
  4. Step 4: Simplify right side
    1,511.88x = 1,688,018.25
  5. Step 5: Solve for x
    x = 1,688,018.25/1,511.88
  6. Step 6: Final answer
    x = 1,116.50

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1.5x scale

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.