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Finding the Fourth Proportional to 3,807.36, 5,256.36 and 2,970

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Solution

The fourth proportional to 3,807.36, 5,256.36 and 2,970 is: 4,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.36 : 5,256.36 = 2,970 : x
  2. Step 2: Convert to fraction form
    3,807.36/5,256.36 = 2,970/x
  3. Step 3: Cross multiply
    3,807.36x = 5,256.36 × 2,970
  4. Step 4: Simplify right side
    3,807.36x = 15,611,389.20
  5. Step 5: Solve for x
    x = 15,611,389.20/3,807.36
  6. Step 6: Final answer
    x = 4,100.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.