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Finding the Fourth Proportional to 30,679.49, 42,337.49 and 17,431.49

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Solution

The fourth proportional to 30,679.49, 42,337.49 and 17,431.49 is: 24,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679.49 : 42,337.49 = 17,431.49 : x
  2. Step 2: Convert to fraction form
    30,679.49/42,337.49 = 17,431.49/x
  3. Step 3: Cross multiply
    30,679.49x = 42,337.49 × 17,431.49
  4. Step 4: Simplify right side
    30,679.49x = 738,005,446.40
  5. Step 5: Solve for x
    x = 738,005,446.40/30,679.49
  6. Step 6: Final answer
    x = 24,055.34

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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.