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Finding the Fourth Proportional to 13,506.16, 18,636.48 and 7,537.96

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Solution

The fourth proportional to 13,506.16, 18,636.48 and 7,537.96 is: 10,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.16 : 18,636.48 = 7,537.96 : x
  2. Step 2: Convert to fraction form
    13,506.16/18,636.48 = 7,537.96/x
  3. Step 3: Cross multiply
    13,506.16x = 18,636.48 × 7,537.96
  4. Step 4: Simplify right side
    13,506.16x = 140,481,040.78
  5. Step 5: Solve for x
    x = 140,481,040.78/13,506.16
  6. Step 6: Final answer
    x = 10,401.26

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1.5x scale

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.