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Finding the Fourth Proportional to 28,423.60, 42,611.09 and 10,906

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Solution

The fourth proportional to 28,423.60, 42,611.09 and 10,906 is: 16,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,423.60 : 42,611.09 = 10,906 : x
  2. Step 2: Convert to fraction form
    28,423.60/42,611.09 = 10,906/x
  3. Step 3: Cross multiply
    28,423.60x = 42,611.09 × 10,906
  4. Step 4: Simplify right side
    28,423.60x = 464,716,547.54
  5. Step 5: Solve for x
    x = 464,716,547.54/28,423.60
  6. Step 6: Final answer
    x = 16,349.67

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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.