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Finding the Fourth Proportional to 7,866.81, 11,802.06 and 3,485.52

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Solution

The fourth proportional to 7,866.81, 11,802.06 and 3,485.52 is: 5,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.81 : 11,802.06 = 3,485.52 : x
  2. Step 2: Convert to fraction form
    7,866.81/11,802.06 = 3,485.52/x
  3. Step 3: Cross multiply
    7,866.81x = 11,802.06 × 3,485.52
  4. Step 4: Simplify right side
    7,866.81x = 41,136,316.17
  5. Step 5: Solve for x
    x = 41,136,316.17/7,866.81
  6. Step 6: Final answer
    x = 5,229.10

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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.