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Finding the Fourth Proportional to 4,509.89, 6,765.90 and 1,431.89

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Solution

The fourth proportional to 4,509.89, 6,765.90 and 1,431.89 is: 2,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.89 : 6,765.90 = 1,431.89 : x
  2. Step 2: Convert to fraction form
    4,509.89/6,765.90 = 1,431.89/x
  3. Step 3: Cross multiply
    4,509.89x = 6,765.90 × 1,431.89
  4. Step 4: Simplify right side
    4,509.89x = 9,688,024.55
  5. Step 5: Solve for x
    x = 9,688,024.55/4,509.89
  6. Step 6: Final answer
    x = 2,148.17

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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.