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Finding the Fourth Proportional to 4,672.95, 6,447.93 and 2,784.49

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Solution

The fourth proportional to 4,672.95, 6,447.93 and 2,784.49 is: 3,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.95 : 6,447.93 = 2,784.49 : x
  2. Step 2: Convert to fraction form
    4,672.95/6,447.93 = 2,784.49/x
  3. Step 3: Cross multiply
    4,672.95x = 6,447.93 × 2,784.49
  4. Step 4: Simplify right side
    4,672.95x = 17,954,190.93
  5. Step 5: Solve for x
    x = 17,954,190.93/4,672.95
  6. Step 6: Final answer
    x = 3,842.15

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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.