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Finding the Fourth Proportional to 30,999.90, 42,777.24 and 19,671.24

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Solution

The fourth proportional to 30,999.90, 42,777.24 and 19,671.24 is: 27,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.90 : 42,777.24 = 19,671.24 : x
  2. Step 2: Convert to fraction form
    30,999.90/42,777.24 = 19,671.24/x
  3. Step 3: Cross multiply
    30,999.90x = 42,777.24 × 19,671.24
  4. Step 4: Simplify right side
    30,999.90x = 841,481,354.58
  5. Step 5: Solve for x
    x = 841,481,354.58/30,999.90
  6. Step 6: Final answer
    x = 27,144.65

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1.5x scale

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.