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Finding the Fourth Proportional to 4,385, 6,578.64 and 1,307

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Solution

The fourth proportional to 4,385, 6,578.64 and 1,307 is: 1,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385 : 6,578.64 = 1,307 : x
  2. Step 2: Convert to fraction form
    4,385/6,578.64 = 1,307/x
  3. Step 3: Cross multiply
    4,385x = 6,578.64 × 1,307
  4. Step 4: Simplify right side
    4,385x = 8,598,282.48
  5. Step 5: Solve for x
    x = 8,598,282.48/4,385
  6. Step 6: Final answer
    x = 1,960.84

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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.