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Finding the Fourth Proportional to 4,745.52, 7,118.01 and 1,282.50

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Solution

The fourth proportional to 4,745.52, 7,118.01 and 1,282.50 is: 1,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.52 : 7,118.01 = 1,282.50 : x
  2. Step 2: Convert to fraction form
    4,745.52/7,118.01 = 1,282.50/x
  3. Step 3: Cross multiply
    4,745.52x = 7,118.01 × 1,282.50
  4. Step 4: Simplify right side
    4,745.52x = 9,128,847.83
  5. Step 5: Solve for x
    x = 9,128,847.83/4,745.52
  6. Step 6: Final answer
    x = 1,923.68

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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.