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Finding the Fourth Proportional to 7,868.00, 11,802.03 and 3,188.10

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Solution

The fourth proportional to 7,868.00, 11,802.03 and 3,188.10 is: 4,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.00 : 11,802.03 = 3,188.10 : x
  2. Step 2: Convert to fraction form
    7,868.00/11,802.03 = 3,188.10/x
  3. Step 3: Cross multiply
    7,868.00x = 11,802.03 × 3,188.10
  4. Step 4: Simplify right side
    7,868.00x = 37,625,995.63
  5. Step 5: Solve for x
    x = 37,625,995.63/7,868.00
  6. Step 6: Final answer
    x = 4,782.16

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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.