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Finding the Fourth Proportional to 3,210, 4,815 and 1,020.54

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Solution

The fourth proportional to 3,210, 4,815 and 1,020.54 is: 1,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210 : 4,815 = 1,020.54 : x
  2. Step 2: Convert to fraction form
    3,210/4,815 = 1,020.54/x
  3. Step 3: Cross multiply
    3,210x = 4,815 × 1,020.54
  4. Step 4: Simplify right side
    3,210x = 4,913,900.10
  5. Step 5: Solve for x
    x = 4,913,900.10/3,210
  6. Step 6: Final answer
    x = 1,530.81

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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.