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Finding the Fourth Proportional to 12,652, 17,460.24 and 7,684

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Solution

The fourth proportional to 12,652, 17,460.24 and 7,684 is: 10,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652 : 17,460.24 = 7,684 : x
  2. Step 2: Convert to fraction form
    12,652/17,460.24 = 7,684/x
  3. Step 3: Cross multiply
    12,652x = 17,460.24 × 7,684
  4. Step 4: Simplify right side
    12,652x = 134,164,484.16
  5. Step 5: Solve for x
    x = 134,164,484.16/12,652
  6. Step 6: Final answer
    x = 10,604.21

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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.