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Finding the Fourth Proportional to 9,754.70, 14,618.55 and 7,783.70

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Solution

The fourth proportional to 9,754.70, 14,618.55 and 7,783.70 is: 11,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.70 : 14,618.55 = 7,783.70 : x
  2. Step 2: Convert to fraction form
    9,754.70/14,618.55 = 7,783.70/x
  3. Step 3: Cross multiply
    9,754.70x = 14,618.55 × 7,783.70
  4. Step 4: Simplify right side
    9,754.70x = 113,786,407.64
  5. Step 5: Solve for x
    x = 113,786,407.64/9,754.70
  6. Step 6: Final answer
    x = 11,664.78

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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.