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Finding the Fourth Proportional to 3,184.76, 4,395 and 1,768.47

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Solution

The fourth proportional to 3,184.76, 4,395 and 1,768.47 is: 2,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.76 : 4,395 = 1,768.47 : x
  2. Step 2: Convert to fraction form
    3,184.76/4,395 = 1,768.47/x
  3. Step 3: Cross multiply
    3,184.76x = 4,395 × 1,768.47
  4. Step 4: Simplify right side
    3,184.76x = 7,772,425.65
  5. Step 5: Solve for x
    x = 7,772,425.65/3,184.76
  6. Step 6: Final answer
    x = 2,440.51

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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.