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Finding the Fourth Proportional to 2,802.80, 4,208.09 and 1,571.00

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Solution

The fourth proportional to 2,802.80, 4,208.09 and 1,571.00 is: 2,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.80 : 4,208.09 = 1,571.00 : x
  2. Step 2: Convert to fraction form
    2,802.80/4,208.09 = 1,571.00/x
  3. Step 3: Cross multiply
    2,802.80x = 4,208.09 × 1,571.00
  4. Step 4: Simplify right side
    2,802.80x = 6,610,880.49
  5. Step 5: Solve for x
    x = 6,610,880.49/2,802.80
  6. Step 6: Final answer
    x = 2,358.67

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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.