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Finding the Fourth Proportional to 30,992.32, 42,769.28 and 16,845.20

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Solution

The fourth proportional to 30,992.32, 42,769.28 and 16,845.20 is: 23,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.32 : 42,769.28 = 16,845.20 : x
  2. Step 2: Convert to fraction form
    30,992.32/42,769.28 = 16,845.20/x
  3. Step 3: Cross multiply
    30,992.32x = 42,769.28 × 16,845.20
  4. Step 4: Simplify right side
    30,992.32x = 720,457,075.46
  5. Step 5: Solve for x
    x = 720,457,075.46/30,992.32
  6. Step 6: Final answer
    x = 23,246.31

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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.