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Finding the Fourth Proportional to 10,958.60, 16,428.90 and 4,723.40

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Solution

The fourth proportional to 10,958.60, 16,428.90 and 4,723.40 is: 7,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.60 : 16,428.90 = 4,723.40 : x
  2. Step 2: Convert to fraction form
    10,958.60/16,428.90 = 4,723.40/x
  3. Step 3: Cross multiply
    10,958.60x = 16,428.90 × 4,723.40
  4. Step 4: Simplify right side
    10,958.60x = 77,600,266.26
  5. Step 5: Solve for x
    x = 77,600,266.26/10,958.60
  6. Step 6: Final answer
    x = 7,081.22

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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.