Home / 10,233.14-15,349.80-2,838.20

Finding the Fourth Proportional to 10,233.14, 15,349.80 and 2,838.20

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Solution

The fourth proportional to 10,233.14, 15,349.80 and 2,838.20 is: 4,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.14 : 15,349.80 = 2,838.20 : x
  2. Step 2: Convert to fraction form
    10,233.14/15,349.80 = 2,838.20/x
  3. Step 3: Cross multiply
    10,233.14x = 15,349.80 × 2,838.20
  4. Step 4: Simplify right side
    10,233.14x = 43,565,802.36
  5. Step 5: Solve for x
    x = 43,565,802.36/10,233.14
  6. Step 6: Final answer
    x = 4,257.32

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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.