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Finding the Fourth Proportional to 1,920.94, 2,652.32 and 1,175.92

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Solution

The fourth proportional to 1,920.94, 2,652.32 and 1,175.92 is: 1,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.94 : 2,652.32 = 1,175.92 : x
  2. Step 2: Convert to fraction form
    1,920.94/2,652.32 = 1,175.92/x
  3. Step 3: Cross multiply
    1,920.94x = 2,652.32 × 1,175.92
  4. Step 4: Simplify right side
    1,920.94x = 3,118,909.14
  5. Step 5: Solve for x
    x = 3,118,909.14/1,920.94
  6. Step 6: Final answer
    x = 1,623.64

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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.