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Finding the Fourth Proportional to 3,807.81, 5,712.08 and 1,210.77

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Solution

The fourth proportional to 3,807.81, 5,712.08 and 1,210.77 is: 1,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.81 : 5,712.08 = 1,210.77 : x
  2. Step 2: Convert to fraction form
    3,807.81/5,712.08 = 1,210.77/x
  3. Step 3: Cross multiply
    3,807.81x = 5,712.08 × 1,210.77
  4. Step 4: Simplify right side
    3,807.81x = 6,916,009.05
  5. Step 5: Solve for x
    x = 6,916,009.05/3,807.81
  6. Step 6: Final answer
    x = 1,816.27

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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.