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Finding the Fourth Proportional to 1,717.16, 2,369.68 and 931.21

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Solution

The fourth proportional to 1,717.16, 2,369.68 and 931.21 is: 1,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.16 : 2,369.68 = 931.21 : x
  2. Step 2: Convert to fraction form
    1,717.16/2,369.68 = 931.21/x
  3. Step 3: Cross multiply
    1,717.16x = 2,369.68 × 931.21
  4. Step 4: Simplify right side
    1,717.16x = 2,206,669.71
  5. Step 5: Solve for x
    x = 2,206,669.71/1,717.16
  6. Step 6: Final answer
    x = 1,285.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.