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Finding the Fourth Proportional to 30,770.56, 42,463.38 and 17,341.84

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Solution

The fourth proportional to 30,770.56, 42,463.38 and 17,341.84 is: 23,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.56 : 42,463.38 = 17,341.84 : x
  2. Step 2: Convert to fraction form
    30,770.56/42,463.38 = 17,341.84/x
  3. Step 3: Cross multiply
    30,770.56x = 42,463.38 × 17,341.84
  4. Step 4: Simplify right side
    30,770.56x = 736,393,141.82
  5. Step 5: Solve for x
    x = 736,393,141.82/30,770.56
  6. Step 6: Final answer
    x = 23,931.74

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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.