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Finding the Fourth Proportional to 1,792.23, 2,685.92 and 927.15

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Solution

The fourth proportional to 1,792.23, 2,685.92 and 927.15 is: 1,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.23 : 2,685.92 = 927.15 : x
  2. Step 2: Convert to fraction form
    1,792.23/2,685.92 = 927.15/x
  3. Step 3: Cross multiply
    1,792.23x = 2,685.92 × 927.15
  4. Step 4: Simplify right side
    1,792.23x = 2,490,246.09
  5. Step 5: Solve for x
    x = 2,490,246.09/1,792.23
  6. Step 6: Final answer
    x = 1,389.47

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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.