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Finding the Fourth Proportional to 17,140, 23,653.20 and 9,688

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Solution

The fourth proportional to 17,140, 23,653.20 and 9,688 is: 13,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140 : 23,653.20 = 9,688 : x
  2. Step 2: Convert to fraction form
    17,140/23,653.20 = 9,688/x
  3. Step 3: Cross multiply
    17,140x = 23,653.20 × 9,688
  4. Step 4: Simplify right side
    17,140x = 229,152,201.60
  5. Step 5: Solve for x
    x = 229,152,201.60/17,140
  6. Step 6: Final answer
    x = 13,369.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.