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Finding the Fourth Proportional to 4,907.61, 6,770.84 and 2,782.91

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Solution

The fourth proportional to 4,907.61, 6,770.84 and 2,782.91 is: 3,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.61 : 6,770.84 = 2,782.91 : x
  2. Step 2: Convert to fraction form
    4,907.61/6,770.84 = 2,782.91/x
  3. Step 3: Cross multiply
    4,907.61x = 6,770.84 × 2,782.91
  4. Step 4: Simplify right side
    4,907.61x = 18,842,590.58
  5. Step 5: Solve for x
    x = 18,842,590.58/4,907.61
  6. Step 6: Final answer
    x = 3,839.46

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1.5x scale

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.