Home / 2,182.64-3,271.52-948.20

Finding the Fourth Proportional to 2,182.64, 3,271.52 and 948.20

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Solution

The fourth proportional to 2,182.64, 3,271.52 and 948.20 is: 1,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.64 : 3,271.52 = 948.20 : x
  2. Step 2: Convert to fraction form
    2,182.64/3,271.52 = 948.20/x
  3. Step 3: Cross multiply
    2,182.64x = 3,271.52 × 948.20
  4. Step 4: Simplify right side
    2,182.64x = 3,102,055.26
  5. Step 5: Solve for x
    x = 3,102,055.26/2,182.64
  6. Step 6: Final answer
    x = 1,421.24

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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.