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Finding the Fourth Proportional to 17,300.50, 25,953 and 6,208.42

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Solution

The fourth proportional to 17,300.50, 25,953 and 6,208.42 is: 9,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,300.50 : 25,953 = 6,208.42 : x
  2. Step 2: Convert to fraction form
    17,300.50/25,953 = 6,208.42/x
  3. Step 3: Cross multiply
    17,300.50x = 25,953 × 6,208.42
  4. Step 4: Simplify right side
    17,300.50x = 161,127,124.26
  5. Step 5: Solve for x
    x = 161,127,124.26/17,300.50
  6. Step 6: Final answer
    x = 9,313.44

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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.