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Finding the Fourth Proportional to 1,541.68, 2,127.53 and 843.07

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Solution

The fourth proportional to 1,541.68, 2,127.53 and 843.07 is: 1,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.68 : 2,127.53 = 843.07 : x
  2. Step 2: Convert to fraction form
    1,541.68/2,127.53 = 843.07/x
  3. Step 3: Cross multiply
    1,541.68x = 2,127.53 × 843.07
  4. Step 4: Simplify right side
    1,541.68x = 1,793,656.72
  5. Step 5: Solve for x
    x = 1,793,656.72/1,541.68
  6. Step 6: Final answer
    x = 1,163.44

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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.