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Finding the Fourth Proportional to 9,896.40, 14,834.73 and 4,950.96

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Solution

The fourth proportional to 9,896.40, 14,834.73 and 4,950.96 is: 7,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.40 : 14,834.73 = 4,950.96 : x
  2. Step 2: Convert to fraction form
    9,896.40/14,834.73 = 4,950.96/x
  3. Step 3: Cross multiply
    9,896.40x = 14,834.73 × 4,950.96
  4. Step 4: Simplify right side
    9,896.40x = 73,446,154.84
  5. Step 5: Solve for x
    x = 73,446,154.84/9,896.40
  6. Step 6: Final answer
    x = 7,421.50

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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.