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Finding the Fourth Proportional to 7,898.56, 11,840.16 and 2,700.96

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Solution

The fourth proportional to 7,898.56, 11,840.16 and 2,700.96 is: 4,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.56 : 11,840.16 = 2,700.96 : x
  2. Step 2: Convert to fraction form
    7,898.56/11,840.16 = 2,700.96/x
  3. Step 3: Cross multiply
    7,898.56x = 11,840.16 × 2,700.96
  4. Step 4: Simplify right side
    7,898.56x = 31,979,798.55
  5. Step 5: Solve for x
    x = 31,979,798.55/7,898.56
  6. Step 6: Final answer
    x = 4,048.81

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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.