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Finding the Fourth Proportional to 30,706.90, 45,978.30 and 19,553.20

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Solution

The fourth proportional to 30,706.90, 45,978.30 and 19,553.20 is: 29,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.90 : 45,978.30 = 19,553.20 : x
  2. Step 2: Convert to fraction form
    30,706.90/45,978.30 = 19,553.20/x
  3. Step 3: Cross multiply
    30,706.90x = 45,978.30 × 19,553.20
  4. Step 4: Simplify right side
    30,706.90x = 899,022,895.56
  5. Step 5: Solve for x
    x = 899,022,895.56/30,706.90
  6. Step 6: Final answer
    x = 29,277.55

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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.