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Finding the Fourth Proportional to 31,321, 46,981.50 and 9,433

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Solution

The fourth proportional to 31,321, 46,981.50 and 9,433 is: 14,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,321 : 46,981.50 = 9,433 : x
  2. Step 2: Convert to fraction form
    31,321/46,981.50 = 9,433/x
  3. Step 3: Cross multiply
    31,321x = 46,981.50 × 9,433
  4. Step 4: Simplify right side
    31,321x = 443,176,489.50
  5. Step 5: Solve for x
    x = 443,176,489.50/31,321
  6. Step 6: Final answer
    x = 14,149.50

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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.