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Finding the Fourth Proportional to 9,900.16, 14,847.81 and 2,879.98

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Solution

The fourth proportional to 9,900.16, 14,847.81 and 2,879.98 is: 4,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.16 : 14,847.81 = 2,879.98 : x
  2. Step 2: Convert to fraction form
    9,900.16/14,847.81 = 2,879.98/x
  3. Step 3: Cross multiply
    9,900.16x = 14,847.81 × 2,879.98
  4. Step 4: Simplify right side
    9,900.16x = 42,761,395.84
  5. Step 5: Solve for x
    x = 42,761,395.84/9,900.16
  6. Step 6: Final answer
    x = 4,319.26

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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.