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Finding the Fourth Proportional to 30,889.74, 46,416.54 and 16,860

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Solution

The fourth proportional to 30,889.74, 46,416.54 and 16,860 is: 25,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889.74 : 46,416.54 = 16,860 : x
  2. Step 2: Convert to fraction form
    30,889.74/46,416.54 = 16,860/x
  3. Step 3: Cross multiply
    30,889.74x = 46,416.54 × 16,860
  4. Step 4: Simplify right side
    30,889.74x = 782,582,864.40
  5. Step 5: Solve for x
    x = 782,582,864.40/30,889.74
  6. Step 6: Final answer
    x = 25,334.72

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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.