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Finding the Fourth Proportional to 30,471.67, 42,047.51 and 17,042.65

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Solution

The fourth proportional to 30,471.67, 42,047.51 and 17,042.65 is: 23,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.67 : 42,047.51 = 17,042.65 : x
  2. Step 2: Convert to fraction form
    30,471.67/42,047.51 = 17,042.65/x
  3. Step 3: Cross multiply
    30,471.67x = 42,047.51 × 17,042.65
  4. Step 4: Simplify right side
    30,471.67x = 716,601,042.49
  5. Step 5: Solve for x
    x = 716,601,042.49/30,471.67
  6. Step 6: Final answer
    x = 23,516.96

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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.