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Finding the Fourth Proportional to 31,191.84, 46,780.88 and 9,000.41

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Solution

The fourth proportional to 31,191.84, 46,780.88 and 9,000.41 is: 13,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191.84 : 46,780.88 = 9,000.41 : x
  2. Step 2: Convert to fraction form
    31,191.84/46,780.88 = 9,000.41/x
  3. Step 3: Cross multiply
    31,191.84x = 46,780.88 × 9,000.41
  4. Step 4: Simplify right side
    31,191.84x = 421,046,821.25
  5. Step 5: Solve for x
    x = 421,046,821.25/31,191.84
  6. Step 6: Final answer
    x = 13,498.62

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1.5x scale

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.