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Finding the Fourth Proportional to 1,781.05, 2,457.92 and 994.94

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Solution

The fourth proportional to 1,781.05, 2,457.92 and 994.94 is: 1,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.05 : 2,457.92 = 994.94 : x
  2. Step 2: Convert to fraction form
    1,781.05/2,457.92 = 994.94/x
  3. Step 3: Cross multiply
    1,781.05x = 2,457.92 × 994.94
  4. Step 4: Simplify right side
    1,781.05x = 2,445,482.92
  5. Step 5: Solve for x
    x = 2,445,482.92/1,781.05
  6. Step 6: Final answer
    x = 1,373.06

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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.