Home / 1,560.14-2,338.13-828.14

Finding the Fourth Proportional to 1,560.14, 2,338.13 and 828.14

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Solution

The fourth proportional to 1,560.14, 2,338.13 and 828.14 is: 1,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.14 : 2,338.13 = 828.14 : x
  2. Step 2: Convert to fraction form
    1,560.14/2,338.13 = 828.14/x
  3. Step 3: Cross multiply
    1,560.14x = 2,338.13 × 828.14
  4. Step 4: Simplify right side
    1,560.14x = 1,936,289.36
  5. Step 5: Solve for x
    x = 1,936,289.36/1,560.14
  6. Step 6: Final answer
    x = 1,241.10

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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.