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Finding the Fourth Proportional to 17,457, 25,990.70 and 16,446.12

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Solution

The fourth proportional to 17,457, 25,990.70 and 16,446.12 is: 24,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457 : 25,990.70 = 16,446.12 : x
  2. Step 2: Convert to fraction form
    17,457/25,990.70 = 16,446.12/x
  3. Step 3: Cross multiply
    17,457x = 25,990.70 × 16,446.12
  4. Step 4: Simplify right side
    17,457x = 427,446,171.08
  5. Step 5: Solve for x
    x = 427,446,171.08/17,457
  6. Step 6: Final answer
    x = 24,485.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.