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Finding the Fourth Proportional to 9,896.70, 14,853.90 and 5,219.76

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Solution

The fourth proportional to 9,896.70, 14,853.90 and 5,219.76 is: 7,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.70 : 14,853.90 = 5,219.76 : x
  2. Step 2: Convert to fraction form
    9,896.70/14,853.90 = 5,219.76/x
  3. Step 3: Cross multiply
    9,896.70x = 14,853.90 × 5,219.76
  4. Step 4: Simplify right side
    9,896.70x = 77,533,793.06
  5. Step 5: Solve for x
    x = 77,533,793.06/9,896.70
  6. Step 6: Final answer
    x = 7,834.31

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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.