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Finding the Fourth Proportional to 4,770.86, 6,583.78 and 2,907.86

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Solution

The fourth proportional to 4,770.86, 6,583.78 and 2,907.86 is: 4,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.86 : 6,583.78 = 2,907.86 : x
  2. Step 2: Convert to fraction form
    4,770.86/6,583.78 = 2,907.86/x
  3. Step 3: Cross multiply
    4,770.86x = 6,583.78 × 2,907.86
  4. Step 4: Simplify right side
    4,770.86x = 19,144,710.51
  5. Step 5: Solve for x
    x = 19,144,710.51/4,770.86
  6. Step 6: Final answer
    x = 4,012.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.