Home / 1,465.56-2,022.90-836.43

Finding the Fourth Proportional to 1,465.56, 2,022.90 and 836.43

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Solution

The fourth proportional to 1,465.56, 2,022.90 and 836.43 is: 1,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.56 : 2,022.90 = 836.43 : x
  2. Step 2: Convert to fraction form
    1,465.56/2,022.90 = 836.43/x
  3. Step 3: Cross multiply
    1,465.56x = 2,022.90 × 836.43
  4. Step 4: Simplify right side
    1,465.56x = 1,692,017.26
  5. Step 5: Solve for x
    x = 1,692,017.26/1,465.56
  6. Step 6: Final answer
    x = 1,154.52

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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.