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Finding the Fourth Proportional to 9,723.90, 14,573.70 and 7,123.80

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Solution

The fourth proportional to 9,723.90, 14,573.70 and 7,123.80 is: 10,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.90 : 14,573.70 = 7,123.80 : x
  2. Step 2: Convert to fraction form
    9,723.90/14,573.70 = 7,123.80/x
  3. Step 3: Cross multiply
    9,723.90x = 14,573.70 × 7,123.80
  4. Step 4: Simplify right side
    9,723.90x = 103,820,124.06
  5. Step 5: Solve for x
    x = 103,820,124.06/9,723.90
  6. Step 6: Final answer
    x = 10,676.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.