Home / 9,731-13,431.18-5,541.72

Finding the Fourth Proportional to 9,731, 13,431.18 and 5,541.72

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Solution

The fourth proportional to 9,731, 13,431.18 and 5,541.72 is: 7,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731 : 13,431.18 = 5,541.72 : x
  2. Step 2: Convert to fraction form
    9,731/13,431.18 = 5,541.72/x
  3. Step 3: Cross multiply
    9,731x = 13,431.18 × 5,541.72
  4. Step 4: Simplify right side
    9,731x = 74,431,838.83
  5. Step 5: Solve for x
    x = 74,431,838.83/9,731
  6. Step 6: Final answer
    x = 7,648.94

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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.