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Finding the Fourth Proportional to 1,352.88, 1,867.37 and 821.77

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Solution

The fourth proportional to 1,352.88, 1,867.37 and 821.77 is: 1,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.88 : 1,867.37 = 821.77 : x
  2. Step 2: Convert to fraction form
    1,352.88/1,867.37 = 821.77/x
  3. Step 3: Cross multiply
    1,352.88x = 1,867.37 × 821.77
  4. Step 4: Simplify right side
    1,352.88x = 1,534,539.87
  5. Step 5: Solve for x
    x = 1,534,539.87/1,352.88
  6. Step 6: Final answer
    x = 1,134.28

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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.