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Finding the Fourth Proportional to 22,314.38, 30,783.21 and 13,360.16

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Solution

The fourth proportional to 22,314.38, 30,783.21 and 13,360.16 is: 18,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.38 : 30,783.21 = 13,360.16 : x
  2. Step 2: Convert to fraction form
    22,314.38/30,783.21 = 13,360.16/x
  3. Step 3: Cross multiply
    22,314.38x = 30,783.21 × 13,360.16
  4. Step 4: Simplify right side
    22,314.38x = 411,268,457.00
  5. Step 5: Solve for x
    x = 411,268,457.00/22,314.38
  6. Step 6: Final answer
    x = 18,430.65

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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.