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Finding the Fourth Proportional to 9,784, 14,678.40 and 2,858.56

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Solution

The fourth proportional to 9,784, 14,678.40 and 2,858.56 is: 4,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784 : 14,678.40 = 2,858.56 : x
  2. Step 2: Convert to fraction form
    9,784/14,678.40 = 2,858.56/x
  3. Step 3: Cross multiply
    9,784x = 14,678.40 × 2,858.56
  4. Step 4: Simplify right side
    9,784x = 41,959,087.10
  5. Step 5: Solve for x
    x = 41,959,087.10/9,784
  6. Step 6: Final answer
    x = 4,288.54

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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.