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Finding the Fourth Proportional to 13,148, 18,144.32 and 7,559.04

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Solution

The fourth proportional to 13,148, 18,144.32 and 7,559.04 is: 10,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148 : 18,144.32 = 7,559.04 : x
  2. Step 2: Convert to fraction form
    13,148/18,144.32 = 7,559.04/x
  3. Step 3: Cross multiply
    13,148x = 18,144.32 × 7,559.04
  4. Step 4: Simplify right side
    13,148x = 137,153,640.65
  5. Step 5: Solve for x
    x = 137,153,640.65/13,148
  6. Step 6: Final answer
    x = 10,431.52

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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.