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Finding the Fourth Proportional to 30,509.64, 42,105.42 and 17,082

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Solution

The fourth proportional to 30,509.64, 42,105.42 and 17,082 is: 23,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.64 : 42,105.42 = 17,082 : x
  2. Step 2: Convert to fraction form
    30,509.64/42,105.42 = 17,082/x
  3. Step 3: Cross multiply
    30,509.64x = 42,105.42 × 17,082
  4. Step 4: Simplify right side
    30,509.64x = 719,244,784.44
  5. Step 5: Solve for x
    x = 719,244,784.44/30,509.64
  6. Step 6: Final answer
    x = 23,574.35

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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.