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Finding the Fourth Proportional to 3,480.47, 4,807.64 and 2,594.73

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Solution

The fourth proportional to 3,480.47, 4,807.64 and 2,594.73 is: 3,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.47 : 4,807.64 = 2,594.73 : x
  2. Step 2: Convert to fraction form
    3,480.47/4,807.64 = 2,594.73/x
  3. Step 3: Cross multiply
    3,480.47x = 4,807.64 × 2,594.73
  4. Step 4: Simplify right side
    3,480.47x = 12,474,534.22
  5. Step 5: Solve for x
    x = 12,474,534.22/3,480.47
  6. Step 6: Final answer
    x = 3,584.16

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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.