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Finding the Fourth Proportional to 6,464, 9,690.84 and 2,567.36

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Solution

The fourth proportional to 6,464, 9,690.84 and 2,567.36 is: 3,848.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464 : 9,690.84 = 2,567.36 : x
  2. Step 2: Convert to fraction form
    6,464/9,690.84 = 2,567.36/x
  3. Step 3: Cross multiply
    6,464x = 9,690.84 × 2,567.36
  4. Step 4: Simplify right side
    6,464x = 24,879,874.98
  5. Step 5: Solve for x
    x = 24,879,874.98/6,464
  6. Step 6: Final answer
    x = 3,848.99

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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.