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Finding the Fourth Proportional to 9,169, 12,653.24 and 4,977.25

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Solution

The fourth proportional to 9,169, 12,653.24 and 4,977.25 is: 6,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169 : 12,653.24 = 4,977.25 : x
  2. Step 2: Convert to fraction form
    9,169/12,653.24 = 4,977.25/x
  3. Step 3: Cross multiply
    9,169x = 12,653.24 × 4,977.25
  4. Step 4: Simplify right side
    9,169x = 62,978,338.79
  5. Step 5: Solve for x
    x = 62,978,338.79/9,169
  6. Step 6: Final answer
    x = 6,868.62

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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.