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Finding the Fourth Proportional to 30,978.99, 42,751.40 and 16,832.07

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Solution

The fourth proportional to 30,978.99, 42,751.40 and 16,832.07 is: 23,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.99 : 42,751.40 = 16,832.07 : x
  2. Step 2: Convert to fraction form
    30,978.99/42,751.40 = 16,832.07/x
  3. Step 3: Cross multiply
    30,978.99x = 42,751.40 × 16,832.07
  4. Step 4: Simplify right side
    30,978.99x = 719,594,473.24
  5. Step 5: Solve for x
    x = 719,594,473.24/30,978.99
  6. Step 6: Final answer
    x = 23,228.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.