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Finding the Fourth Proportional to 17,111.20, 25,647.60 and 9,719.20

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Solution

The fourth proportional to 17,111.20, 25,647.60 and 9,719.20 is: 14,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,111.20 : 25,647.60 = 9,719.20 : x
  2. Step 2: Convert to fraction form
    17,111.20/25,647.60 = 9,719.20/x
  3. Step 3: Cross multiply
    17,111.20x = 25,647.60 × 9,719.20
  4. Step 4: Simplify right side
    17,111.20x = 249,274,153.92
  5. Step 5: Solve for x
    x = 249,274,153.92/17,111.20
  6. Step 6: Final answer
    x = 14,567.89

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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.