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Finding the Fourth Proportional to 30,541.75, 45,805.26 and 12,762.79

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Solution

The fourth proportional to 30,541.75, 45,805.26 and 12,762.79 is: 19,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.75 : 45,805.26 = 12,762.79 : x
  2. Step 2: Convert to fraction form
    30,541.75/45,805.26 = 12,762.79/x
  3. Step 3: Cross multiply
    30,541.75x = 45,805.26 × 12,762.79
  4. Step 4: Simplify right side
    30,541.75x = 584,602,914.28
  5. Step 5: Solve for x
    x = 584,602,914.28/30,541.75
  6. Step 6: Final answer
    x = 19,141.11

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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.