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Finding the Fourth Proportional to 6,021.65, 9,030.65 and 1,638.54

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Solution

The fourth proportional to 6,021.65, 9,030.65 and 1,638.54 is: 2,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.65 : 9,030.65 = 1,638.54 : x
  2. Step 2: Convert to fraction form
    6,021.65/9,030.65 = 1,638.54/x
  3. Step 3: Cross multiply
    6,021.65x = 9,030.65 × 1,638.54
  4. Step 4: Simplify right side
    6,021.65x = 14,797,073.06
  5. Step 5: Solve for x
    x = 14,797,073.06/6,021.65
  6. Step 6: Final answer
    x = 2,457.31

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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.