Home / 9,724-14,588.44-2,798.50

Finding the Fourth Proportional to 9,724, 14,588.44 and 2,798.50

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Solution

The fourth proportional to 9,724, 14,588.44 and 2,798.50 is: 4,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 14,588.44 = 2,798.50 : x
  2. Step 2: Convert to fraction form
    9,724/14,588.44 = 2,798.50/x
  3. Step 3: Cross multiply
    9,724x = 14,588.44 × 2,798.50
  4. Step 4: Simplify right side
    9,724x = 40,825,749.34
  5. Step 5: Solve for x
    x = 40,825,749.34/9,724
  6. Step 6: Final answer
    x = 4,198.45

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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.