Home / 3,210-4,816.56-1,477.68

Finding the Fourth Proportional to 3,210, 4,816.56 and 1,477.68

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Solution

The fourth proportional to 3,210, 4,816.56 and 1,477.68 is: 2,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210 : 4,816.56 = 1,477.68 : x
  2. Step 2: Convert to fraction form
    3,210/4,816.56 = 1,477.68/x
  3. Step 3: Cross multiply
    3,210x = 4,816.56 × 1,477.68
  4. Step 4: Simplify right side
    3,210x = 7,117,334.38
  5. Step 5: Solve for x
    x = 7,117,334.38/3,210
  6. Step 6: Final answer
    x = 2,217.24

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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.