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Finding the Fourth Proportional to 9,771.09, 14,661.50 and 7,798.74

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Solution

The fourth proportional to 9,771.09, 14,661.50 and 7,798.74 is: 11,701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.09 : 14,661.50 = 7,798.74 : x
  2. Step 2: Convert to fraction form
    9,771.09/14,661.50 = 7,798.74/x
  3. Step 3: Cross multiply
    9,771.09x = 14,661.50 × 7,798.74
  4. Step 4: Simplify right side
    9,771.09x = 114,341,187.52
  5. Step 5: Solve for x
    x = 114,341,187.52/9,771.09
  6. Step 6: Final answer
    x = 11,701.99

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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.