Home / 1,578.87-2,178.75-1,160.98

Finding the Fourth Proportional to 1,578.87, 2,178.75 and 1,160.98

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Solution

The fourth proportional to 1,578.87, 2,178.75 and 1,160.98 is: 1,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.87 : 2,178.75 = 1,160.98 : x
  2. Step 2: Convert to fraction form
    1,578.87/2,178.75 = 1,160.98/x
  3. Step 3: Cross multiply
    1,578.87x = 2,178.75 × 1,160.98
  4. Step 4: Simplify right side
    1,578.87x = 2,529,479.73
  5. Step 5: Solve for x
    x = 2,529,479.73/1,578.87
  6. Step 6: Final answer
    x = 1,602.08

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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.