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Finding the Fourth Proportional to 9,894.81, 14,848.19 and 5,218.28

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Solution

The fourth proportional to 9,894.81, 14,848.19 and 5,218.28 is: 7,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.81 : 14,848.19 = 5,218.28 : x
  2. Step 2: Convert to fraction form
    9,894.81/14,848.19 = 5,218.28/x
  3. Step 3: Cross multiply
    9,894.81x = 14,848.19 × 5,218.28
  4. Step 4: Simplify right side
    9,894.81x = 77,481,912.58
  5. Step 5: Solve for x
    x = 77,481,912.58/9,894.81
  6. Step 6: Final answer
    x = 7,830.56

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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.