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Finding the Fourth Proportional to 21,580.80, 29,760 and 15,216.64

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Solution

The fourth proportional to 21,580.80, 29,760 and 15,216.64 is: 20,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.80 : 29,760 = 15,216.64 : x
  2. Step 2: Convert to fraction form
    21,580.80/29,760 = 15,216.64/x
  3. Step 3: Cross multiply
    21,580.80x = 29,760 × 15,216.64
  4. Step 4: Simplify right side
    21,580.80x = 452,847,206.40
  5. Step 5: Solve for x
    x = 452,847,206.40/21,580.80
  6. Step 6: Final answer
    x = 20,983.80

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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.