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Finding the Fourth Proportional to 9,826, 14,739 and 2,900.32

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Solution

The fourth proportional to 9,826, 14,739 and 2,900.32 is: 4,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826 : 14,739 = 2,900.32 : x
  2. Step 2: Convert to fraction form
    9,826/14,739 = 2,900.32/x
  3. Step 3: Cross multiply
    9,826x = 14,739 × 2,900.32
  4. Step 4: Simplify right side
    9,826x = 42,747,816.48
  5. Step 5: Solve for x
    x = 42,747,816.48/9,826
  6. Step 6: Final answer
    x = 4,350.48

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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.