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Finding the Fourth Proportional to 3,038.72, 4,561.11 and 1,652.00

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Solution

The fourth proportional to 3,038.72, 4,561.11 and 1,652.00 is: 2,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.72 : 4,561.11 = 1,652.00 : x
  2. Step 2: Convert to fraction form
    3,038.72/4,561.11 = 1,652.00/x
  3. Step 3: Cross multiply
    3,038.72x = 4,561.11 × 1,652.00
  4. Step 4: Simplify right side
    3,038.72x = 7,534,930.91
  5. Step 5: Solve for x
    x = 7,534,930.91/3,038.72
  6. Step 6: Final answer
    x = 2,479.64

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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.