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Finding the Fourth Proportional to 10,371, 15,556.50 and 3,445.50

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Solution

The fourth proportional to 10,371, 15,556.50 and 3,445.50 is: 5,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371 : 15,556.50 = 3,445.50 : x
  2. Step 2: Convert to fraction form
    10,371/15,556.50 = 3,445.50/x
  3. Step 3: Cross multiply
    10,371x = 15,556.50 × 3,445.50
  4. Step 4: Simplify right side
    10,371x = 53,599,920.75
  5. Step 5: Solve for x
    x = 53,599,920.75/10,371
  6. Step 6: Final answer
    x = 5,168.25

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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.