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Finding the Fourth Proportional to 3,807.88, 5,710.60 and 1,210.21

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Solution

The fourth proportional to 3,807.88, 5,710.60 and 1,210.21 is: 1,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.88 : 5,710.60 = 1,210.21 : x
  2. Step 2: Convert to fraction form
    3,807.88/5,710.60 = 1,210.21/x
  3. Step 3: Cross multiply
    3,807.88x = 5,710.60 × 1,210.21
  4. Step 4: Simplify right side
    3,807.88x = 6,911,025.23
  5. Step 5: Solve for x
    x = 6,911,025.23/3,807.88
  6. Step 6: Final answer
    x = 1,814.93

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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.