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Finding the Fourth Proportional to 10,477.44, 15,714.87 and 2,981.16

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Solution

The fourth proportional to 10,477.44, 15,714.87 and 2,981.16 is: 4,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.44 : 15,714.87 = 2,981.16 : x
  2. Step 2: Convert to fraction form
    10,477.44/15,714.87 = 2,981.16/x
  3. Step 3: Cross multiply
    10,477.44x = 15,714.87 × 2,981.16
  4. Step 4: Simplify right side
    10,477.44x = 46,848,541.85
  5. Step 5: Solve for x
    x = 46,848,541.85/10,477.44
  6. Step 6: Final answer
    x = 4,471.37

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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.