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Finding the Fourth Proportional to 9,645.53, 13,310.75 and 5,453.93

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Solution

The fourth proportional to 9,645.53, 13,310.75 and 5,453.93 is: 7,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.53 : 13,310.75 = 5,453.93 : x
  2. Step 2: Convert to fraction form
    9,645.53/13,310.75 = 5,453.93/x
  3. Step 3: Cross multiply
    9,645.53x = 13,310.75 × 5,453.93
  4. Step 4: Simplify right side
    9,645.53x = 72,595,845.83
  5. Step 5: Solve for x
    x = 72,595,845.83/9,645.53
  6. Step 6: Final answer
    x = 7,526.38

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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.