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Finding the Fourth Proportional to 15,223.81, 21,008.43 and 8,509.46

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Solution

The fourth proportional to 15,223.81, 21,008.43 and 8,509.46 is: 11,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.81 : 21,008.43 = 8,509.46 : x
  2. Step 2: Convert to fraction form
    15,223.81/21,008.43 = 8,509.46/x
  3. Step 3: Cross multiply
    15,223.81x = 21,008.43 × 8,509.46
  4. Step 4: Simplify right side
    15,223.81x = 178,770,394.75
  5. Step 5: Solve for x
    x = 178,770,394.75/15,223.81
  6. Step 6: Final answer
    x = 11,742.82

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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.