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Finding the Fourth Proportional to 9,672, 14,506.32 and 2,745.12

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Solution

The fourth proportional to 9,672, 14,506.32 and 2,745.12 is: 4,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672 : 14,506.32 = 2,745.12 : x
  2. Step 2: Convert to fraction form
    9,672/14,506.32 = 2,745.12/x
  3. Step 3: Cross multiply
    9,672x = 14,506.32 × 2,745.12
  4. Step 4: Simplify right side
    9,672x = 39,821,589.16
  5. Step 5: Solve for x
    x = 39,821,589.16/9,672
  6. Step 6: Final answer
    x = 4,117.20

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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.