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Finding the Fourth Proportional to 2,386.07, 3,579.67 and 998.63

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Solution

The fourth proportional to 2,386.07, 3,579.67 and 998.63 is: 1,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.07 : 3,579.67 = 998.63 : x
  2. Step 2: Convert to fraction form
    2,386.07/3,579.67 = 998.63/x
  3. Step 3: Cross multiply
    2,386.07x = 3,579.67 × 998.63
  4. Step 4: Simplify right side
    2,386.07x = 3,574,765.85
  5. Step 5: Solve for x
    x = 3,574,765.85/2,386.07
  6. Step 6: Final answer
    x = 1,498.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.