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Finding the Fourth Proportional to 1,368.08, 1,887.54 and 843.92

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Solution

The fourth proportional to 1,368.08, 1,887.54 and 843.92 is: 1,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.08 : 1,887.54 = 843.92 : x
  2. Step 2: Convert to fraction form
    1,368.08/1,887.54 = 843.92/x
  3. Step 3: Cross multiply
    1,368.08x = 1,887.54 × 843.92
  4. Step 4: Simplify right side
    1,368.08x = 1,592,932.76
  5. Step 5: Solve for x
    x = 1,592,932.76/1,368.08
  6. Step 6: Final answer
    x = 1,164.36

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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.