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Finding the Fourth Proportional to 9,920.50, 14,883.97 and 7,736.74

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Solution

The fourth proportional to 9,920.50, 14,883.97 and 7,736.74 is: 11,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.50 : 14,883.97 = 7,736.74 : x
  2. Step 2: Convert to fraction form
    9,920.50/14,883.97 = 7,736.74/x
  3. Step 3: Cross multiply
    9,920.50x = 14,883.97 × 7,736.74
  4. Step 4: Simplify right side
    9,920.50x = 115,153,406.06
  5. Step 5: Solve for x
    x = 115,153,406.06/9,920.50
  6. Step 6: Final answer
    x = 11,607.62

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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.