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Finding the Fourth Proportional to 30,840.60, 42,560 and 17,411.98

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Solution

The fourth proportional to 30,840.60, 42,560 and 17,411.98 is: 24,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.60 : 42,560 = 17,411.98 : x
  2. Step 2: Convert to fraction form
    30,840.60/42,560 = 17,411.98/x
  3. Step 3: Cross multiply
    30,840.60x = 42,560 × 17,411.98
  4. Step 4: Simplify right side
    30,840.60x = 741,053,868.80
  5. Step 5: Solve for x
    x = 741,053,868.80/30,840.60
  6. Step 6: Final answer
    x = 24,028.52

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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.