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Finding the Fourth Proportional to 9,972.69, 14,942.63 and 7,905.98

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Solution

The fourth proportional to 9,972.69, 14,942.63 and 7,905.98 is: 11,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.69 : 14,942.63 = 7,905.98 : x
  2. Step 2: Convert to fraction form
    9,972.69/14,942.63 = 7,905.98/x
  3. Step 3: Cross multiply
    9,972.69x = 14,942.63 × 7,905.98
  4. Step 4: Simplify right side
    9,972.69x = 118,136,059.21
  5. Step 5: Solve for x
    x = 118,136,059.21/9,972.69
  6. Step 6: Final answer
    x = 11,845.96

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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.