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Finding the Fourth Proportional to 30,894.80, 46,363.80 and 19,828.40

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Solution

The fourth proportional to 30,894.80, 46,363.80 and 19,828.40 is: 29,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.80 : 46,363.80 = 19,828.40 : x
  2. Step 2: Convert to fraction form
    30,894.80/46,363.80 = 19,828.40/x
  3. Step 3: Cross multiply
    30,894.80x = 46,363.80 × 19,828.40
  4. Step 4: Simplify right side
    30,894.80x = 919,319,971.92
  5. Step 5: Solve for x
    x = 919,319,971.92/30,894.80
  6. Step 6: Final answer
    x = 29,756.46

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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.