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Finding the Fourth Proportional to 1,294.12, 1,784.92 and 995.32

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Solution

The fourth proportional to 1,294.12, 1,784.92 and 995.32 is: 1,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.12 : 1,784.92 = 995.32 : x
  2. Step 2: Convert to fraction form
    1,294.12/1,784.92 = 995.32/x
  3. Step 3: Cross multiply
    1,294.12x = 1,784.92 × 995.32
  4. Step 4: Simplify right side
    1,294.12x = 1,776,566.57
  5. Step 5: Solve for x
    x = 1,776,566.57/1,294.12
  6. Step 6: Final answer
    x = 1,372.80

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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.