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Finding the Fourth Proportional to 3,868.96, 5,802.80 and 1,271.52

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Solution

The fourth proportional to 3,868.96, 5,802.80 and 1,271.52 is: 1,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.96 : 5,802.80 = 1,271.52 : x
  2. Step 2: Convert to fraction form
    3,868.96/5,802.80 = 1,271.52/x
  3. Step 3: Cross multiply
    3,868.96x = 5,802.80 × 1,271.52
  4. Step 4: Simplify right side
    3,868.96x = 7,378,376.26
  5. Step 5: Solve for x
    x = 7,378,376.26/3,868.96
  6. Step 6: Final answer
    x = 1,907.07

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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.