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Finding the Fourth Proportional to 12,356.67, 17,051.38 and 7,640.04

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Solution

The fourth proportional to 12,356.67, 17,051.38 and 7,640.04 is: 10,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.67 : 17,051.38 = 7,640.04 : x
  2. Step 2: Convert to fraction form
    12,356.67/17,051.38 = 7,640.04/x
  3. Step 3: Cross multiply
    12,356.67x = 17,051.38 × 7,640.04
  4. Step 4: Simplify right side
    12,356.67x = 130,273,225.26
  5. Step 5: Solve for x
    x = 130,273,225.26/12,356.67
  6. Step 6: Final answer
    x = 10,542.75

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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.