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Finding the Fourth Proportional to 13,478.94, 18,600.98 and 7,814.80

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Solution

The fourth proportional to 13,478.94, 18,600.98 and 7,814.80 is: 10,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.94 : 18,600.98 = 7,814.80 : x
  2. Step 2: Convert to fraction form
    13,478.94/18,600.98 = 7,814.80/x
  3. Step 3: Cross multiply
    13,478.94x = 18,600.98 × 7,814.80
  4. Step 4: Simplify right side
    13,478.94x = 145,362,938.50
  5. Step 5: Solve for x
    x = 145,362,938.50/13,478.94
  6. Step 6: Final answer
    x = 10,784.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.