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Finding the Fourth Proportional to 1,489.77, 2,056.13 and 826.84

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Solution

The fourth proportional to 1,489.77, 2,056.13 and 826.84 is: 1,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.77 : 2,056.13 = 826.84 : x
  2. Step 2: Convert to fraction form
    1,489.77/2,056.13 = 826.84/x
  3. Step 3: Cross multiply
    1,489.77x = 2,056.13 × 826.84
  4. Step 4: Simplify right side
    1,489.77x = 1,700,081.79
  5. Step 5: Solve for x
    x = 1,700,081.79/1,489.77
  6. Step 6: Final answer
    x = 1,141.17

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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.