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Finding the Fourth Proportional to 30,509.54, 42,101.22 and 17,078.54

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Solution

The fourth proportional to 30,509.54, 42,101.22 and 17,078.54 is: 23,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.54 : 42,101.22 = 17,078.54 : x
  2. Step 2: Convert to fraction form
    30,509.54/42,101.22 = 17,078.54/x
  3. Step 3: Cross multiply
    30,509.54x = 42,101.22 × 17,078.54
  4. Step 4: Simplify right side
    30,509.54x = 719,027,369.82
  5. Step 5: Solve for x
    x = 719,027,369.82/30,509.54
  6. Step 6: Final answer
    x = 23,567.30

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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.