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Finding the Fourth Proportional to 3,290.02, 4,927.20 and 1,807.05

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Solution

The fourth proportional to 3,290.02, 4,927.20 and 1,807.05 is: 2,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.02 : 4,927.20 = 1,807.05 : x
  2. Step 2: Convert to fraction form
    3,290.02/4,927.20 = 1,807.05/x
  3. Step 3: Cross multiply
    3,290.02x = 4,927.20 × 1,807.05
  4. Step 4: Simplify right side
    3,290.02x = 8,903,696.76
  5. Step 5: Solve for x
    x = 8,903,696.76/3,290.02
  6. Step 6: Final answer
    x = 2,706.27

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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.