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Finding the Fourth Proportional to 30,988, 46,650.61 and 28,232.38

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Solution

The fourth proportional to 30,988, 46,650.61 and 28,232.38 is: 42,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,988 : 46,650.61 = 28,232.38 : x
  2. Step 2: Convert to fraction form
    30,988/46,650.61 = 28,232.38/x
  3. Step 3: Cross multiply
    30,988x = 46,650.61 × 28,232.38
  4. Step 4: Simplify right side
    30,988x = 1,317,057,748.75
  5. Step 5: Solve for x
    x = 1,317,057,748.75/30,988
  6. Step 6: Final answer
    x = 42,502.19

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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.