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Finding the Fourth Proportional to 10,694.34, 16,043.80 and 5,430.04

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Solution

The fourth proportional to 10,694.34, 16,043.80 and 5,430.04 is: 8,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.34 : 16,043.80 = 5,430.04 : x
  2. Step 2: Convert to fraction form
    10,694.34/16,043.80 = 5,430.04/x
  3. Step 3: Cross multiply
    10,694.34x = 16,043.80 × 5,430.04
  4. Step 4: Simplify right side
    10,694.34x = 87,118,475.75
  5. Step 5: Solve for x
    x = 87,118,475.75/10,694.34
  6. Step 6: Final answer
    x = 8,146.22

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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.