Home / 7,024.92-10,538-1,830.84

Finding the Fourth Proportional to 7,024.92, 10,538 and 1,830.84

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Solution

The fourth proportional to 7,024.92, 10,538 and 1,830.84 is: 2,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.92 : 10,538 = 1,830.84 : x
  2. Step 2: Convert to fraction form
    7,024.92/10,538 = 1,830.84/x
  3. Step 3: Cross multiply
    7,024.92x = 10,538 × 1,830.84
  4. Step 4: Simplify right side
    7,024.92x = 19,293,391.92
  5. Step 5: Solve for x
    x = 19,293,391.92/7,024.92
  6. Step 6: Final answer
    x = 2,746.42

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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.