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Finding the Fourth Proportional to 30,645, 45,978.57 and 15,073.56

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Solution

The fourth proportional to 30,645, 45,978.57 and 15,073.56 is: 22,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645 : 45,978.57 = 15,073.56 : x
  2. Step 2: Convert to fraction form
    30,645/45,978.57 = 15,073.56/x
  3. Step 3: Cross multiply
    30,645x = 45,978.57 × 15,073.56
  4. Step 4: Simplify right side
    30,645x = 693,060,733.61
  5. Step 5: Solve for x
    x = 693,060,733.61/30,645
  6. Step 6: Final answer
    x = 22,615.79

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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.