Home / 1,578.50-2,177.58-1,018.70

Finding the Fourth Proportional to 1,578.50, 2,177.58 and 1,018.70

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Solution

The fourth proportional to 1,578.50, 2,177.58 and 1,018.70 is: 1,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.50 : 2,177.58 = 1,018.70 : x
  2. Step 2: Convert to fraction form
    1,578.50/2,177.58 = 1,018.70/x
  3. Step 3: Cross multiply
    1,578.50x = 2,177.58 × 1,018.70
  4. Step 4: Simplify right side
    1,578.50x = 2,218,300.75
  5. Step 5: Solve for x
    x = 2,218,300.75/1,578.50
  6. Step 6: Final answer
    x = 1,405.32

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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.