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Finding the Fourth Proportional to 3,210.99, 4,812.50 and 1,820.10

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Solution

The fourth proportional to 3,210.99, 4,812.50 and 1,820.10 is: 2,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.99 : 4,812.50 = 1,820.10 : x
  2. Step 2: Convert to fraction form
    3,210.99/4,812.50 = 1,820.10/x
  3. Step 3: Cross multiply
    3,210.99x = 4,812.50 × 1,820.10
  4. Step 4: Simplify right side
    3,210.99x = 8,759,222.15
  5. Step 5: Solve for x
    x = 8,759,222.15/3,210.99
  6. Step 6: Final answer
    x = 2,727.89

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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.