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Finding the Fourth Proportional to 1,781.24, 2,670.91 and 891.63

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Solution

The fourth proportional to 1,781.24, 2,670.91 and 891.63 is: 1,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.24 : 2,670.91 = 891.63 : x
  2. Step 2: Convert to fraction form
    1,781.24/2,670.91 = 891.63/x
  3. Step 3: Cross multiply
    1,781.24x = 2,670.91 × 891.63
  4. Step 4: Simplify right side
    1,781.24x = 2,381,459.03
  5. Step 5: Solve for x
    x = 2,381,459.03/1,781.24
  6. Step 6: Final answer
    x = 1,336.97

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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.