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Finding the Fourth Proportional to 47,937.94, 71,906.91 and 14,658

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Solution

The fourth proportional to 47,937.94, 71,906.91 and 14,658 is: 21,987

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,937.94 : 71,906.91 = 14,658 : x
  2. Step 2: Convert to fraction form
    47,937.94/71,906.91 = 14,658/x
  3. Step 3: Cross multiply
    47,937.94x = 71,906.91 × 14,658
  4. Step 4: Simplify right side
    47,937.94x = 1,054,011,486.78
  5. Step 5: Solve for x
    x = 1,054,011,486.78/47,937.94
  6. Step 6: Final answer
    x = 21,987

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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.