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Finding the Fourth Proportional to 1,975.23, 2,724 and 1,818.19

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Solution

The fourth proportional to 1,975.23, 2,724 and 1,818.19 is: 2,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.23 : 2,724 = 1,818.19 : x
  2. Step 2: Convert to fraction form
    1,975.23/2,724 = 1,818.19/x
  3. Step 3: Cross multiply
    1,975.23x = 2,724 × 1,818.19
  4. Step 4: Simplify right side
    1,975.23x = 4,952,742.75
  5. Step 5: Solve for x
    x = 4,952,742.75/1,975.23
  6. Step 6: Final answer
    x = 2,507.43

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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.