Home / 1,505.30-2,077.21-842.14

Finding the Fourth Proportional to 1,505.30, 2,077.21 and 842.14

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Solution

The fourth proportional to 1,505.30, 2,077.21 and 842.14 is: 1,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.30 : 2,077.21 = 842.14 : x
  2. Step 2: Convert to fraction form
    1,505.30/2,077.21 = 842.14/x
  3. Step 3: Cross multiply
    1,505.30x = 2,077.21 × 842.14
  4. Step 4: Simplify right side
    1,505.30x = 1,749,305.28
  5. Step 5: Solve for x
    x = 1,749,305.28/1,505.30
  6. Step 6: Final answer
    x = 1,162.10

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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.