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Finding the Fourth Proportional to 30,643.88, 45,970.14 and 10,918.22

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Solution

The fourth proportional to 30,643.88, 45,970.14 and 10,918.22 is: 16,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.88 : 45,970.14 = 10,918.22 : x
  2. Step 2: Convert to fraction form
    30,643.88/45,970.14 = 10,918.22/x
  3. Step 3: Cross multiply
    30,643.88x = 45,970.14 × 10,918.22
  4. Step 4: Simplify right side
    30,643.88x = 501,912,101.95
  5. Step 5: Solve for x
    x = 501,912,101.95/30,643.88
  6. Step 6: Final answer
    x = 16,378.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.