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Finding the Fourth Proportional to 30,696.75, 46,035 and 9,915.39

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Solution

The fourth proportional to 30,696.75, 46,035 and 9,915.39 is: 14,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696.75 : 46,035 = 9,915.39 : x
  2. Step 2: Convert to fraction form
    30,696.75/46,035 = 9,915.39/x
  3. Step 3: Cross multiply
    30,696.75x = 46,035 × 9,915.39
  4. Step 4: Simplify right side
    30,696.75x = 456,454,978.65
  5. Step 5: Solve for x
    x = 456,454,978.65/30,696.75
  6. Step 6: Final answer
    x = 14,869.81

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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.