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Finding the Fourth Proportional to 30,419.86, 42,008.14 and 28,763.22

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Solution

The fourth proportional to 30,419.86, 42,008.14 and 28,763.22 is: 39,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.86 : 42,008.14 = 28,763.22 : x
  2. Step 2: Convert to fraction form
    30,419.86/42,008.14 = 28,763.22/x
  3. Step 3: Cross multiply
    30,419.86x = 42,008.14 × 28,763.22
  4. Step 4: Simplify right side
    30,419.86x = 1,208,289,372.61
  5. Step 5: Solve for x
    x = 1,208,289,372.61/30,419.86
  6. Step 6: Final answer
    x = 39,720.41

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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.