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Finding the Fourth Proportional to 7,898.64, 11,844.04 and 4,612.56

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Solution

The fourth proportional to 7,898.64, 11,844.04 and 4,612.56 is: 6,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.64 : 11,844.04 = 4,612.56 : x
  2. Step 2: Convert to fraction form
    7,898.64/11,844.04 = 4,612.56/x
  3. Step 3: Cross multiply
    7,898.64x = 11,844.04 × 4,612.56
  4. Step 4: Simplify right side
    7,898.64x = 54,631,345.14
  5. Step 5: Solve for x
    x = 54,631,345.14/7,898.64
  6. Step 6: Final answer
    x = 6,916.55

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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.