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Finding the Fourth Proportional to 13,478.96, 18,600.98 and 7,814.80

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Solution

The fourth proportional to 13,478.96, 18,600.98 and 7,814.80 is: 10,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.96 : 18,600.98 = 7,814.80 : x
  2. Step 2: Convert to fraction form
    13,478.96/18,600.98 = 7,814.80/x
  3. Step 3: Cross multiply
    13,478.96x = 18,600.98 × 7,814.80
  4. Step 4: Simplify right side
    13,478.96x = 145,362,938.50
  5. Step 5: Solve for x
    x = 145,362,938.50/13,478.96
  6. Step 6: Final answer
    x = 10,784.43

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1.5x scale

Why These Related Problems?

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