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Finding the Fourth Proportional to 2,920, 4,030.24 and 1,816.64

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Solution

The fourth proportional to 2,920, 4,030.24 and 1,816.64 is: 2,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920 : 4,030.24 = 1,816.64 : x
  2. Step 2: Convert to fraction form
    2,920/4,030.24 = 1,816.64/x
  3. Step 3: Cross multiply
    2,920x = 4,030.24 × 1,816.64
  4. Step 4: Simplify right side
    2,920x = 7,321,495.19
  5. Step 5: Solve for x
    x = 7,321,495.19/2,920
  6. Step 6: Final answer
    x = 2,507.36

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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.