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Finding the Fourth Proportional to 1,715.29, 2,573 and 882.13

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Solution

The fourth proportional to 1,715.29, 2,573 and 882.13 is: 1,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.29 : 2,573 = 882.13 : x
  2. Step 2: Convert to fraction form
    1,715.29/2,573 = 882.13/x
  3. Step 3: Cross multiply
    1,715.29x = 2,573 × 882.13
  4. Step 4: Simplify right side
    1,715.29x = 2,269,720.49
  5. Step 5: Solve for x
    x = 2,269,720.49/1,715.29
  6. Step 6: Final answer
    x = 1,323.23

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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.