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Finding the Fourth Proportional to 30,946, 42,705.48 and 16,798.96

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Solution

The fourth proportional to 30,946, 42,705.48 and 16,798.96 is: 23,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946 : 42,705.48 = 16,798.96 : x
  2. Step 2: Convert to fraction form
    30,946/42,705.48 = 16,798.96/x
  3. Step 3: Cross multiply
    30,946x = 42,705.48 × 16,798.96
  4. Step 4: Simplify right side
    30,946x = 717,407,650.30
  5. Step 5: Solve for x
    x = 717,407,650.30/30,946
  6. Step 6: Final answer
    x = 23,182.56

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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.