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Finding the Fourth Proportional to 30,989, 46,652.12 and 28,233.38

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Solution

The fourth proportional to 30,989, 46,652.12 and 28,233.38 is: 42,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989 : 46,652.12 = 28,233.38 : x
  2. Step 2: Convert to fraction form
    30,989/46,652.12 = 28,233.38/x
  3. Step 3: Cross multiply
    30,989x = 46,652.12 × 28,233.38
  4. Step 4: Simplify right side
    30,989x = 1,317,147,031.77
  5. Step 5: Solve for x
    x = 1,317,147,031.77/30,989
  6. Step 6: Final answer
    x = 42,503.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.