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Finding the Fourth Proportional to 6,447.58, 9,674.61 and 4,807.42

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Solution

The fourth proportional to 6,447.58, 9,674.61 and 4,807.42 is: 7,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.58 : 9,674.61 = 4,807.42 : x
  2. Step 2: Convert to fraction form
    6,447.58/9,674.61 = 4,807.42/x
  3. Step 3: Cross multiply
    6,447.58x = 9,674.61 × 4,807.42
  4. Step 4: Simplify right side
    6,447.58x = 46,509,913.61
  5. Step 5: Solve for x
    x = 46,509,913.61/6,447.58
  6. Step 6: Final answer
    x = 7,213.55

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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.