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Finding the Fourth Proportional to 15,682.86, 21,642.66 and 9,634.86

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Solution

The fourth proportional to 15,682.86, 21,642.66 and 9,634.86 is: 13,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.86 : 21,642.66 = 9,634.86 : x
  2. Step 2: Convert to fraction form
    15,682.86/21,642.66 = 9,634.86/x
  3. Step 3: Cross multiply
    15,682.86x = 21,642.66 × 9,634.86
  4. Step 4: Simplify right side
    15,682.86x = 208,523,999.13
  5. Step 5: Solve for x
    x = 208,523,999.13/15,682.86
  6. Step 6: Final answer
    x = 13,296.30

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1.5x scale

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.