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Finding the Fourth Proportional to 30,482.31, 45,698.86 and 28,021.94

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Solution

The fourth proportional to 30,482.31, 45,698.86 and 28,021.94 is: 42,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482.31 : 45,698.86 = 28,021.94 : x
  2. Step 2: Convert to fraction form
    30,482.31/45,698.86 = 28,021.94/x
  3. Step 3: Cross multiply
    30,482.31x = 45,698.86 × 28,021.94
  4. Step 4: Simplify right side
    30,482.31x = 1,280,570,712.99
  5. Step 5: Solve for x
    x = 1,280,570,712.99/30,482.31
  6. Step 6: Final answer
    x = 42,010.29

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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.