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Finding the Fourth Proportional to 2,030, 3,045.15 and 1,485.62

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Solution

The fourth proportional to 2,030, 3,045.15 and 1,485.62 is: 2,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030 : 3,045.15 = 1,485.62 : x
  2. Step 2: Convert to fraction form
    2,030/3,045.15 = 1,485.62/x
  3. Step 3: Cross multiply
    2,030x = 3,045.15 × 1,485.62
  4. Step 4: Simplify right side
    2,030x = 4,523,935.74
  5. Step 5: Solve for x
    x = 4,523,935.74/2,030
  6. Step 6: Final answer
    x = 2,228.54

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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.