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Finding the Fourth Proportional to 1,792.09, 2,688.90 and 927.01

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Solution

The fourth proportional to 1,792.09, 2,688.90 and 927.01 is: 1,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.09 : 2,688.90 = 927.01 : x
  2. Step 2: Convert to fraction form
    1,792.09/2,688.90 = 927.01/x
  3. Step 3: Cross multiply
    1,792.09x = 2,688.90 × 927.01
  4. Step 4: Simplify right side
    1,792.09x = 2,492,637.19
  5. Step 5: Solve for x
    x = 2,492,637.19/1,792.09
  6. Step 6: Final answer
    x = 1,390.91

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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.