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Finding the Fourth Proportional to 30,896, 42,636.24 and 16,748.48

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Solution

The fourth proportional to 30,896, 42,636.24 and 16,748.48 is: 23,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896 : 42,636.24 = 16,748.48 : x
  2. Step 2: Convert to fraction form
    30,896/42,636.24 = 16,748.48/x
  3. Step 3: Cross multiply
    30,896x = 42,636.24 × 16,748.48
  4. Step 4: Simplify right side
    30,896x = 714,092,212.92
  5. Step 5: Solve for x
    x = 714,092,212.92/30,896
  6. Step 6: Final answer
    x = 23,112.77

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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.