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Finding the Fourth Proportional to 30,980.26, 46,703.81 and 28,975.78

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Solution

The fourth proportional to 30,980.26, 46,703.81 and 28,975.78 is: 43,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.26 : 46,703.81 = 28,975.78 : x
  2. Step 2: Convert to fraction form
    30,980.26/46,703.81 = 28,975.78/x
  3. Step 3: Cross multiply
    30,980.26x = 46,703.81 × 28,975.78
  4. Step 4: Simplify right side
    30,980.26x = 1,353,279,323.72
  5. Step 5: Solve for x
    x = 1,353,279,323.72/30,980.26
  6. Step 6: Final answer
    x = 43,681.99

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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.