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Finding the Fourth Proportional to 4,748.02, 7,121.49 and 1,285.54

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Solution

The fourth proportional to 4,748.02, 7,121.49 and 1,285.54 is: 1,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.02 : 7,121.49 = 1,285.54 : x
  2. Step 2: Convert to fraction form
    4,748.02/7,121.49 = 1,285.54/x
  3. Step 3: Cross multiply
    4,748.02x = 7,121.49 × 1,285.54
  4. Step 4: Simplify right side
    4,748.02x = 9,154,960.25
  5. Step 5: Solve for x
    x = 9,154,960.25/4,748.02
  6. Step 6: Final answer
    x = 1,928.16

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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.