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Finding the Fourth Proportional to 3,807.49, 5,711.03 and 1,210.23

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Solution

The fourth proportional to 3,807.49, 5,711.03 and 1,210.23 is: 1,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.49 : 5,711.03 = 1,210.23 : x
  2. Step 2: Convert to fraction form
    3,807.49/5,711.03 = 1,210.23/x
  3. Step 3: Cross multiply
    3,807.49x = 5,711.03 × 1,210.23
  4. Step 4: Simplify right side
    3,807.49x = 6,911,659.84
  5. Step 5: Solve for x
    x = 6,911,659.84/3,807.49
  6. Step 6: Final answer
    x = 1,815.28

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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.