Home / 1,578.84-2,164.71-1,465.08

Finding the Fourth Proportional to 1,578.84, 2,164.71 and 1,465.08

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Solution

The fourth proportional to 1,578.84, 2,164.71 and 1,465.08 is: 2,008.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.84 : 2,164.71 = 1,465.08 : x
  2. Step 2: Convert to fraction form
    1,578.84/2,164.71 = 1,465.08/x
  3. Step 3: Cross multiply
    1,578.84x = 2,164.71 × 1,465.08
  4. Step 4: Simplify right side
    1,578.84x = 3,171,473.33
  5. Step 5: Solve for x
    x = 3,171,473.33/1,578.84
  6. Step 6: Final answer
    x = 2,008.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.