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Finding the Fourth Proportional to 30,405.57, 41,965.14 and 18,141.76

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Solution

The fourth proportional to 30,405.57, 41,965.14 and 18,141.76 is: 25,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.57 : 41,965.14 = 18,141.76 : x
  2. Step 2: Convert to fraction form
    30,405.57/41,965.14 = 18,141.76/x
  3. Step 3: Cross multiply
    30,405.57x = 41,965.14 × 18,141.76
  4. Step 4: Simplify right side
    30,405.57x = 761,321,498.25
  5. Step 5: Solve for x
    x = 761,321,498.25/30,405.57
  6. Step 6: Final answer
    x = 25,038.89

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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.