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Finding the Fourth Proportional to 30,978.86, 42,750.99 and 18,232.59

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Solution

The fourth proportional to 30,978.86, 42,750.99 and 18,232.59 is: 25,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.86 : 42,750.99 = 18,232.59 : x
  2. Step 2: Convert to fraction form
    30,978.86/42,750.99 = 18,232.59/x
  3. Step 3: Cross multiply
    30,978.86x = 42,750.99 × 18,232.59
  4. Step 4: Simplify right side
    30,978.86x = 779,461,433.08
  5. Step 5: Solve for x
    x = 779,461,433.08/30,978.86
  6. Step 6: Final answer
    x = 25,161.08

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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.