Home / 1,644.24-2,267.88-1,590

Finding the Fourth Proportional to 1,644.24, 2,267.88 and 1,590

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Solution

The fourth proportional to 1,644.24, 2,267.88 and 1,590 is: 2,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.24 : 2,267.88 = 1,590 : x
  2. Step 2: Convert to fraction form
    1,644.24/2,267.88 = 1,590/x
  3. Step 3: Cross multiply
    1,644.24x = 2,267.88 × 1,590
  4. Step 4: Simplify right side
    1,644.24x = 3,605,929.20
  5. Step 5: Solve for x
    x = 3,605,929.20/1,644.24
  6. Step 6: Final answer
    x = 2,193.07

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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.