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Finding the Fourth Proportional to 30,411.88, 45,642.39 and 12,894.01

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Solution

The fourth proportional to 30,411.88, 45,642.39 and 12,894.01 is: 19,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.88 : 45,642.39 = 12,894.01 : x
  2. Step 2: Convert to fraction form
    30,411.88/45,642.39 = 12,894.01/x
  3. Step 3: Cross multiply
    30,411.88x = 45,642.39 × 12,894.01
  4. Step 4: Simplify right side
    30,411.88x = 588,513,140.40
  5. Step 5: Solve for x
    x = 588,513,140.40/30,411.88
  6. Step 6: Final answer
    x = 19,351.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.