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Finding the Fourth Proportional to 14,362.50, 19,820.25 and 8,076.90

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Solution

The fourth proportional to 14,362.50, 19,820.25 and 8,076.90 is: 11,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.50 : 19,820.25 = 8,076.90 : x
  2. Step 2: Convert to fraction form
    14,362.50/19,820.25 = 8,076.90/x
  3. Step 3: Cross multiply
    14,362.50x = 19,820.25 × 8,076.90
  4. Step 4: Simplify right side
    14,362.50x = 160,086,177.23
  5. Step 5: Solve for x
    x = 160,086,177.23/14,362.50
  6. Step 6: Final answer
    x = 11,146.12

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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.