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Finding the Fourth Proportional to 7,749.64, 11,603.16 and 5,411.98

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Solution

The fourth proportional to 7,749.64, 11,603.16 and 5,411.98 is: 8,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.64 : 11,603.16 = 5,411.98 : x
  2. Step 2: Convert to fraction form
    7,749.64/11,603.16 = 5,411.98/x
  3. Step 3: Cross multiply
    7,749.64x = 11,603.16 × 5,411.98
  4. Step 4: Simplify right side
    7,749.64x = 62,796,069.86
  5. Step 5: Solve for x
    x = 62,796,069.86/7,749.64
  6. Step 6: Final answer
    x = 8,103.10

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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.