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Finding the Fourth Proportional to 4,738.53, 7,107.83 and 1,228.30

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Solution

The fourth proportional to 4,738.53, 7,107.83 and 1,228.30 is: 1,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.53 : 7,107.83 = 1,228.30 : x
  2. Step 2: Convert to fraction form
    4,738.53/7,107.83 = 1,228.30/x
  3. Step 3: Cross multiply
    4,738.53x = 7,107.83 × 1,228.30
  4. Step 4: Simplify right side
    4,738.53x = 8,730,547.59
  5. Step 5: Solve for x
    x = 8,730,547.59/4,738.53
  6. Step 6: Final answer
    x = 1,842.46

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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.