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Finding the Fourth Proportional to 31,662.90, 47,503.86 and 9,477

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Solution

The fourth proportional to 31,662.90, 47,503.86 and 9,477 is: 14,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.90 : 47,503.86 = 9,477 : x
  2. Step 2: Convert to fraction form
    31,662.90/47,503.86 = 9,477/x
  3. Step 3: Cross multiply
    31,662.90x = 47,503.86 × 9,477
  4. Step 4: Simplify right side
    31,662.90x = 450,194,081.22
  5. Step 5: Solve for x
    x = 450,194,081.22/31,662.90
  6. Step 6: Final answer
    x = 14,218.35

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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.