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Finding the Fourth Proportional to 4,059.78, 6,089.68 and 981.78

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Solution

The fourth proportional to 4,059.78, 6,089.68 and 981.78 is: 1,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.78 : 6,089.68 = 981.78 : x
  2. Step 2: Convert to fraction form
    4,059.78/6,089.68 = 981.78/x
  3. Step 3: Cross multiply
    4,059.78x = 6,089.68 × 981.78
  4. Step 4: Simplify right side
    4,059.78x = 5,978,726.03
  5. Step 5: Solve for x
    x = 5,978,726.03/4,059.78
  6. Step 6: Final answer
    x = 1,472.67

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1.5x scale

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.