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Finding the Fourth Proportional to 11,576.70, 15,975.72 and 6,271.20

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Solution

The fourth proportional to 11,576.70, 15,975.72 and 6,271.20 is: 8,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.70 : 15,975.72 = 6,271.20 : x
  2. Step 2: Convert to fraction form
    11,576.70/15,975.72 = 6,271.20/x
  3. Step 3: Cross multiply
    11,576.70x = 15,975.72 × 6,271.20
  4. Step 4: Simplify right side
    11,576.70x = 100,186,935.26
  5. Step 5: Solve for x
    x = 100,186,935.26/11,576.70
  6. Step 6: Final answer
    x = 8,654.19

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1.5x scale

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.