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Finding the Fourth Proportional to 10,333, 15,502.06 and 3,037

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Solution

The fourth proportional to 10,333, 15,502.06 and 3,037 is: 4,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333 : 15,502.06 = 3,037 : x
  2. Step 2: Convert to fraction form
    10,333/15,502.06 = 3,037/x
  3. Step 3: Cross multiply
    10,333x = 15,502.06 × 3,037
  4. Step 4: Simplify right side
    10,333x = 47,079,756.22
  5. Step 5: Solve for x
    x = 47,079,756.22/10,333
  6. Step 6: Final answer
    x = 4,556.25

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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.