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Finding the Fourth Proportional to 43,409.68, 65,115.06 and 13,827.40

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Solution

The fourth proportional to 43,409.68, 65,115.06 and 13,827.40 is: 20,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,409.68 : 65,115.06 = 13,827.40 : x
  2. Step 2: Convert to fraction form
    43,409.68/65,115.06 = 13,827.40/x
  3. Step 3: Cross multiply
    43,409.68x = 65,115.06 × 13,827.40
  4. Step 4: Simplify right side
    43,409.68x = 900,371,980.64
  5. Step 5: Solve for x
    x = 900,371,980.64/43,409.68
  6. Step 6: Final answer
    x = 20,741.27

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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.