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Finding the Fourth Proportional to 9,745.80, 14,619.15 and 4,752.77

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Solution

The fourth proportional to 9,745.80, 14,619.15 and 4,752.77 is: 7,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.80 : 14,619.15 = 4,752.77 : x
  2. Step 2: Convert to fraction form
    9,745.80/14,619.15 = 4,752.77/x
  3. Step 3: Cross multiply
    9,745.80x = 14,619.15 × 4,752.77
  4. Step 4: Simplify right side
    9,745.80x = 69,481,384.45
  5. Step 5: Solve for x
    x = 69,481,384.45/9,745.80
  6. Step 6: Final answer
    x = 7,129.37

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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.