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Finding the Fourth Proportional to 5,154.63, 7,728.90 and 2,030.96

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Solution

The fourth proportional to 5,154.63, 7,728.90 and 2,030.96 is: 3,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.63 : 7,728.90 = 2,030.96 : x
  2. Step 2: Convert to fraction form
    5,154.63/7,728.90 = 2,030.96/x
  3. Step 3: Cross multiply
    5,154.63x = 7,728.90 × 2,030.96
  4. Step 4: Simplify right side
    5,154.63x = 15,697,086.74
  5. Step 5: Solve for x
    x = 15,697,086.74/5,154.63
  6. Step 6: Final answer
    x = 3,045.24

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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.