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Finding the Fourth Proportional to 6,316, 8,716.08 and 3,521.50

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Solution

The fourth proportional to 6,316, 8,716.08 and 3,521.50 is: 4,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316 : 8,716.08 = 3,521.50 : x
  2. Step 2: Convert to fraction form
    6,316/8,716.08 = 3,521.50/x
  3. Step 3: Cross multiply
    6,316x = 8,716.08 × 3,521.50
  4. Step 4: Simplify right side
    6,316x = 30,693,675.72
  5. Step 5: Solve for x
    x = 30,693,675.72/6,316
  6. Step 6: Final answer
    x = 4,859.67

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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.