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Finding the Fourth Proportional to 7,866.58, 11,802.39 and 3,915.22

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Solution

The fourth proportional to 7,866.58, 11,802.39 and 3,915.22 is: 5,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.58 : 11,802.39 = 3,915.22 : x
  2. Step 2: Convert to fraction form
    7,866.58/11,802.39 = 3,915.22/x
  3. Step 3: Cross multiply
    7,866.58x = 11,802.39 × 3,915.22
  4. Step 4: Simplify right side
    7,866.58x = 46,208,953.38
  5. Step 5: Solve for x
    x = 46,208,953.38/7,866.58
  6. Step 6: Final answer
    x = 5,874.08

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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.