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Finding the Fourth Proportional to 6,505.84, 8,978.05 and 3,521.67

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Solution

The fourth proportional to 6,505.84, 8,978.05 and 3,521.67 is: 4,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.84 : 8,978.05 = 3,521.67 : x
  2. Step 2: Convert to fraction form
    6,505.84/8,978.05 = 3,521.67/x
  3. Step 3: Cross multiply
    6,505.84x = 8,978.05 × 3,521.67
  4. Step 4: Simplify right side
    6,505.84x = 31,617,729.34
  5. Step 5: Solve for x
    x = 31,617,729.34/6,505.84
  6. Step 6: Final answer
    x = 4,859.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.