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Finding the Fourth Proportional to 15,649.81, 21,584.07 and 9,677.27

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Solution

The fourth proportional to 15,649.81, 21,584.07 and 9,677.27 is: 13,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.81 : 21,584.07 = 9,677.27 : x
  2. Step 2: Convert to fraction form
    15,649.81/21,584.07 = 9,677.27/x
  3. Step 3: Cross multiply
    15,649.81x = 21,584.07 × 9,677.27
  4. Step 4: Simplify right side
    15,649.81x = 208,874,927.05
  5. Step 5: Solve for x
    x = 208,874,927.05/15,649.81
  6. Step 6: Final answer
    x = 13,346.80

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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.