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Finding the Fourth Proportional to 9,376, 12,939.09 and 5,127.34

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Solution

The fourth proportional to 9,376, 12,939.09 and 5,127.34 is: 7,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376 : 12,939.09 = 5,127.34 : x
  2. Step 2: Convert to fraction form
    9,376/12,939.09 = 5,127.34/x
  3. Step 3: Cross multiply
    9,376x = 12,939.09 × 5,127.34
  4. Step 4: Simplify right side
    9,376x = 66,343,113.72
  5. Step 5: Solve for x
    x = 66,343,113.72/9,376
  6. Step 6: Final answer
    x = 7,075.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.