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Finding the Fourth Proportional to 9,891.90, 14,828.00 and 4,946.45

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Solution

The fourth proportional to 9,891.90, 14,828.00 and 4,946.45 is: 7,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.90 : 14,828.00 = 4,946.45 : x
  2. Step 2: Convert to fraction form
    9,891.90/14,828.00 = 4,946.45/x
  3. Step 3: Cross multiply
    9,891.90x = 14,828.00 × 4,946.45
  4. Step 4: Simplify right side
    9,891.90x = 73,345,861.73
  5. Step 5: Solve for x
    x = 73,345,861.73/9,891.90
  6. Step 6: Final answer
    x = 7,414.74

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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.