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Finding the Fourth Proportional to 2,386.44, 3,578.85 and 924.84

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Solution

The fourth proportional to 2,386.44, 3,578.85 and 924.84 is: 1,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.44 : 3,578.85 = 924.84 : x
  2. Step 2: Convert to fraction form
    2,386.44/3,578.85 = 924.84/x
  3. Step 3: Cross multiply
    2,386.44x = 3,578.85 × 924.84
  4. Step 4: Simplify right side
    2,386.44x = 3,309,863.63
  5. Step 5: Solve for x
    x = 3,309,863.63/2,386.44
  6. Step 6: Final answer
    x = 1,386.95

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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.