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Finding the Fourth Proportional to 34,894, 48,133.20 and 20,746

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Solution

The fourth proportional to 34,894, 48,133.20 and 20,746 is: 28,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,894 : 48,133.20 = 20,746 : x
  2. Step 2: Convert to fraction form
    34,894/48,133.20 = 20,746/x
  3. Step 3: Cross multiply
    34,894x = 48,133.20 × 20,746
  4. Step 4: Simplify right side
    34,894x = 998,571,367.20
  5. Step 5: Solve for x
    x = 998,571,367.20/34,894
  6. Step 6: Final answer
    x = 28,617.28

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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.