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Finding the Fourth Proportional to 30,967.44, 42,734.88 and 16,820.16

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Solution

The fourth proportional to 30,967.44, 42,734.88 and 16,820.16 is: 23,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.44 : 42,734.88 = 16,820.16 : x
  2. Step 2: Convert to fraction form
    30,967.44/42,734.88 = 16,820.16/x
  3. Step 3: Cross multiply
    30,967.44x = 42,734.88 × 16,820.16
  4. Step 4: Simplify right side
    30,967.44x = 718,807,519.18
  5. Step 5: Solve for x
    x = 718,807,519.18/30,967.44
  6. Step 6: Final answer
    x = 23,211.72

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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.