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Finding the Fourth Proportional to 43,488.64, 65,232.96 and 10,656.64

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Solution

The fourth proportional to 43,488.64, 65,232.96 and 10,656.64 is: 15,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,488.64 : 65,232.96 = 10,656.64 : x
  2. Step 2: Convert to fraction form
    43,488.64/65,232.96 = 10,656.64/x
  3. Step 3: Cross multiply
    43,488.64x = 65,232.96 × 10,656.64
  4. Step 4: Simplify right side
    43,488.64x = 695,164,170.85
  5. Step 5: Solve for x
    x = 695,164,170.85/43,488.64
  6. Step 6: Final answer
    x = 15,984.96

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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.