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Finding the Fourth Proportional to 43,817.64, 65,728.64 and 21,348.96

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Solution

The fourth proportional to 43,817.64, 65,728.64 and 21,348.96 is: 32,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,817.64 : 65,728.64 = 21,348.96 : x
  2. Step 2: Convert to fraction form
    43,817.64/65,728.64 = 21,348.96/x
  3. Step 3: Cross multiply
    43,817.64x = 65,728.64 × 21,348.96
  4. Step 4: Simplify right side
    43,817.64x = 1,403,238,106.21
  5. Step 5: Solve for x
    x = 1,403,238,106.21/43,817.64
  6. Step 6: Final answer
    x = 32,024.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.