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Finding the Fourth Proportional to 7,710.56, 11,568.56 and 2,516.40

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Solution

The fourth proportional to 7,710.56, 11,568.56 and 2,516.40 is: 3,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.56 : 11,568.56 = 2,516.40 : x
  2. Step 2: Convert to fraction form
    7,710.56/11,568.56 = 2,516.40/x
  3. Step 3: Cross multiply
    7,710.56x = 11,568.56 × 2,516.40
  4. Step 4: Simplify right side
    7,710.56x = 29,111,124.38
  5. Step 5: Solve for x
    x = 29,111,124.38/7,710.56
  6. Step 6: Final answer
    x = 3,775.49

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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.