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Finding the Fourth Proportional to 6,378.56, 9,567.84 and 5,912

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Solution

The fourth proportional to 6,378.56, 9,567.84 and 5,912 is: 8,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.56 : 9,567.84 = 5,912 : x
  2. Step 2: Convert to fraction form
    6,378.56/9,567.84 = 5,912/x
  3. Step 3: Cross multiply
    6,378.56x = 9,567.84 × 5,912
  4. Step 4: Simplify right side
    6,378.56x = 56,565,070.08
  5. Step 5: Solve for x
    x = 56,565,070.08/6,378.56
  6. Step 6: Final answer
    x = 8,868

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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.