Home / 3,478-4,799.76-2,598.16

Finding the Fourth Proportional to 3,478, 4,799.76 and 2,598.16

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Solution

The fourth proportional to 3,478, 4,799.76 and 2,598.16 is: 3,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478 : 4,799.76 = 2,598.16 : x
  2. Step 2: Convert to fraction form
    3,478/4,799.76 = 2,598.16/x
  3. Step 3: Cross multiply
    3,478x = 4,799.76 × 2,598.16
  4. Step 4: Simplify right side
    3,478x = 12,470,544.44
  5. Step 5: Solve for x
    x = 12,470,544.44/3,478
  6. Step 6: Final answer
    x = 3,585.55

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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.