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Finding the Fourth Proportional to 2,869.43, 4,294.42 and 1,715.99

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Solution

The fourth proportional to 2,869.43, 4,294.42 and 1,715.99 is: 2,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.43 : 4,294.42 = 1,715.99 : x
  2. Step 2: Convert to fraction form
    2,869.43/4,294.42 = 1,715.99/x
  3. Step 3: Cross multiply
    2,869.43x = 4,294.42 × 1,715.99
  4. Step 4: Simplify right side
    2,869.43x = 7,369,156.01
  5. Step 5: Solve for x
    x = 7,369,156.01/2,869.43
  6. Step 6: Final answer
    x = 2,568.16

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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.