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Finding the Fourth Proportional to 30,907.76, 42,653.16 and 18,157.76

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Solution

The fourth proportional to 30,907.76, 42,653.16 and 18,157.76 is: 25,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.76 : 42,653.16 = 18,157.76 : x
  2. Step 2: Convert to fraction form
    30,907.76/42,653.16 = 18,157.76/x
  3. Step 3: Cross multiply
    30,907.76x = 42,653.16 × 18,157.76
  4. Step 4: Simplify right side
    30,907.76x = 774,485,842.52
  5. Step 5: Solve for x
    x = 774,485,842.52/30,907.76
  6. Step 6: Final answer
    x = 25,057.97

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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.