Home / 1,770.13-2,442.84-984.13

Finding the Fourth Proportional to 1,770.13, 2,442.84 and 984.13

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Solution

The fourth proportional to 1,770.13, 2,442.84 and 984.13 is: 1,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.13 : 2,442.84 = 984.13 : x
  2. Step 2: Convert to fraction form
    1,770.13/2,442.84 = 984.13/x
  3. Step 3: Cross multiply
    1,770.13x = 2,442.84 × 984.13
  4. Step 4: Simplify right side
    1,770.13x = 2,404,072.13
  5. Step 5: Solve for x
    x = 2,404,072.13/1,770.13
  6. Step 6: Final answer
    x = 1,358.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.