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Finding the Fourth Proportional to 2,316.47, 3,474.33 and 855.27

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Solution

The fourth proportional to 2,316.47, 3,474.33 and 855.27 is: 1,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.47 : 3,474.33 = 855.27 : x
  2. Step 2: Convert to fraction form
    2,316.47/3,474.33 = 855.27/x
  3. Step 3: Cross multiply
    2,316.47x = 3,474.33 × 855.27
  4. Step 4: Simplify right side
    2,316.47x = 2,971,490.22
  5. Step 5: Solve for x
    x = 2,971,490.22/2,316.47
  6. Step 6: Final answer
    x = 1,282.77

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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.