Home / 1,880.89-2,816.10-1,417.24

Finding the Fourth Proportional to 1,880.89, 2,816.10 and 1,417.24

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Solution

The fourth proportional to 1,880.89, 2,816.10 and 1,417.24 is: 2,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.89 : 2,816.10 = 1,417.24 : x
  2. Step 2: Convert to fraction form
    1,880.89/2,816.10 = 1,417.24/x
  3. Step 3: Cross multiply
    1,880.89x = 2,816.10 × 1,417.24
  4. Step 4: Simplify right side
    1,880.89x = 3,991,093.08
  5. Step 5: Solve for x
    x = 3,991,093.08/1,880.89
  6. Step 6: Final answer
    x = 2,121.92

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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.