Home / 1,511.14-2,267.70-781.20

Finding the Fourth Proportional to 1,511.14, 2,267.70 and 781.20

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Solution

The fourth proportional to 1,511.14, 2,267.70 and 781.20 is: 1,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.14 : 2,267.70 = 781.20 : x
  2. Step 2: Convert to fraction form
    1,511.14/2,267.70 = 781.20/x
  3. Step 3: Cross multiply
    1,511.14x = 2,267.70 × 781.20
  4. Step 4: Simplify right side
    1,511.14x = 1,771,527.24
  5. Step 5: Solve for x
    x = 1,771,527.24/1,511.14
  6. Step 6: Final answer
    x = 1,172.31

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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.