Home / 1,541.13-2,126.75-842.50

Finding the Fourth Proportional to 1,541.13, 2,126.75 and 842.50

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Solution

The fourth proportional to 1,541.13, 2,126.75 and 842.50 is: 1,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.13 : 2,126.75 = 842.50 : x
  2. Step 2: Convert to fraction form
    1,541.13/2,126.75 = 842.50/x
  3. Step 3: Cross multiply
    1,541.13x = 2,126.75 × 842.50
  4. Step 4: Simplify right side
    1,541.13x = 1,791,786.88
  5. Step 5: Solve for x
    x = 1,791,786.88/1,541.13
  6. Step 6: Final answer
    x = 1,162.64

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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.