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Finding the Fourth Proportional to 4,907.17, 6,772.18 and 2,782.78

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Solution

The fourth proportional to 4,907.17, 6,772.18 and 2,782.78 is: 3,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.17 : 6,772.18 = 2,782.78 : x
  2. Step 2: Convert to fraction form
    4,907.17/6,772.18 = 2,782.78/x
  3. Step 3: Cross multiply
    4,907.17x = 6,772.18 × 2,782.78
  4. Step 4: Simplify right side
    4,907.17x = 18,845,487.06
  5. Step 5: Solve for x
    x = 18,845,487.06/4,907.17
  6. Step 6: Final answer
    x = 3,840.40

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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.