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Finding the Fourth Proportional to 30,814, 42,523.16 and 16,666.80

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Solution

The fourth proportional to 30,814, 42,523.16 and 16,666.80 is: 23,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814 : 42,523.16 = 16,666.80 : x
  2. Step 2: Convert to fraction form
    30,814/42,523.16 = 16,666.80/x
  3. Step 3: Cross multiply
    30,814x = 42,523.16 × 16,666.80
  4. Step 4: Simplify right side
    30,814x = 708,725,003.09
  5. Step 5: Solve for x
    x = 708,725,003.09/30,814
  6. Step 6: Final answer
    x = 23,000.10

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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.