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Finding the Fourth Proportional to 7,704, 11,554.07 and 2,155.91

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Solution

The fourth proportional to 7,704, 11,554.07 and 2,155.91 is: 3,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704 : 11,554.07 = 2,155.91 : x
  2. Step 2: Convert to fraction form
    7,704/11,554.07 = 2,155.91/x
  3. Step 3: Cross multiply
    7,704x = 11,554.07 × 2,155.91
  4. Step 4: Simplify right side
    7,704x = 24,909,466.50
  5. Step 5: Solve for x
    x = 24,909,466.50/7,704
  6. Step 6: Final answer
    x = 3,233.32

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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.