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Finding the Fourth Proportional to 15,656.41, 21,608.07 and 9,690

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Solution

The fourth proportional to 15,656.41, 21,608.07 and 9,690 is: 13,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,656.41 : 21,608.07 = 9,690 : x
  2. Step 2: Convert to fraction form
    15,656.41/21,608.07 = 9,690/x
  3. Step 3: Cross multiply
    15,656.41x = 21,608.07 × 9,690
  4. Step 4: Simplify right side
    15,656.41x = 209,382,198.30
  5. Step 5: Solve for x
    x = 209,382,198.30/15,656.41
  6. Step 6: Final answer
    x = 13,373.58

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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.