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Finding the Fourth Proportional to 11,915.04, 17,889 and 6,075.72

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Solution

The fourth proportional to 11,915.04, 17,889 and 6,075.72 is: 9,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.04 : 17,889 = 6,075.72 : x
  2. Step 2: Convert to fraction form
    11,915.04/17,889 = 6,075.72/x
  3. Step 3: Cross multiply
    11,915.04x = 17,889 × 6,075.72
  4. Step 4: Simplify right side
    11,915.04x = 108,688,555.08
  5. Step 5: Solve for x
    x = 108,688,555.08/11,915.04
  6. Step 6: Final answer
    x = 9,121.96

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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.