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Finding the Fourth Proportional to 1,920.51, 2,878.40 and 995.54

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Solution

The fourth proportional to 1,920.51, 2,878.40 and 995.54 is: 1,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.51 : 2,878.40 = 995.54 : x
  2. Step 2: Convert to fraction form
    1,920.51/2,878.40 = 995.54/x
  3. Step 3: Cross multiply
    1,920.51x = 2,878.40 × 995.54
  4. Step 4: Simplify right side
    1,920.51x = 2,865,542.97
  5. Step 5: Solve for x
    x = 2,865,542.97/1,920.51
  6. Step 6: Final answer
    x = 1,492.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.