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Finding the Fourth Proportional to 30,798.86, 42,503.20 and 18,868.77

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Solution

The fourth proportional to 30,798.86, 42,503.20 and 18,868.77 is: 26,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798.86 : 42,503.20 = 18,868.77 : x
  2. Step 2: Convert to fraction form
    30,798.86/42,503.20 = 18,868.77/x
  3. Step 3: Cross multiply
    30,798.86x = 42,503.20 × 18,868.77
  4. Step 4: Simplify right side
    30,798.86x = 801,983,057.89
  5. Step 5: Solve for x
    x = 801,983,057.89/30,798.86
  6. Step 6: Final answer
    x = 26,039.38

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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.