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Finding the Fourth Proportional to 13,745.52, 20,624.74 and 4,978.08

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Solution

The fourth proportional to 13,745.52, 20,624.74 and 4,978.08 is: 7,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.52 : 20,624.74 = 4,978.08 : x
  2. Step 2: Convert to fraction form
    13,745.52/20,624.74 = 4,978.08/x
  3. Step 3: Cross multiply
    13,745.52x = 20,624.74 × 4,978.08
  4. Step 4: Simplify right side
    13,745.52x = 102,671,605.70
  5. Step 5: Solve for x
    x = 102,671,605.70/13,745.52
  6. Step 6: Final answer
    x = 7,469.46

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1.5x scale

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.