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Finding the Fourth Proportional to 2,316.28, 3,474.93 and 672.88

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Solution

The fourth proportional to 2,316.28, 3,474.93 and 672.88 is: 1,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.28 : 3,474.93 = 672.88 : x
  2. Step 2: Convert to fraction form
    2,316.28/3,474.93 = 672.88/x
  3. Step 3: Cross multiply
    2,316.28x = 3,474.93 × 672.88
  4. Step 4: Simplify right side
    2,316.28x = 2,338,210.90
  5. Step 5: Solve for x
    x = 2,338,210.90/2,316.28
  6. Step 6: Final answer
    x = 1,009.47

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1.5x scale

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.