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Finding the Fourth Proportional to 17,271, 25,922.70 and 7,916.04

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Solution

The fourth proportional to 17,271, 25,922.70 and 7,916.04 is: 11,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271 : 25,922.70 = 7,916.04 : x
  2. Step 2: Convert to fraction form
    17,271/25,922.70 = 7,916.04/x
  3. Step 3: Cross multiply
    17,271x = 25,922.70 × 7,916.04
  4. Step 4: Simplify right side
    17,271x = 205,205,130.11
  5. Step 5: Solve for x
    x = 205,205,130.11/17,271
  6. Step 6: Final answer
    x = 11,881.49

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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.