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Finding the Fourth Proportional to 10,471.65, 15,702.08 and 3,894.45

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Solution

The fourth proportional to 10,471.65, 15,702.08 and 3,894.45 is: 5,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.65 : 15,702.08 = 3,894.45 : x
  2. Step 2: Convert to fraction form
    10,471.65/15,702.08 = 3,894.45/x
  3. Step 3: Cross multiply
    10,471.65x = 15,702.08 × 3,894.45
  4. Step 4: Simplify right side
    10,471.65x = 61,150,945.98
  5. Step 5: Solve for x
    x = 61,150,945.98/10,471.65
  6. Step 6: Final answer
    x = 5,839.67

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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.