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Finding the Fourth Proportional to 9,771.28, 14,658.68 and 3,928.32

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Solution

The fourth proportional to 9,771.28, 14,658.68 and 3,928.32 is: 5,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.28 : 14,658.68 = 3,928.32 : x
  2. Step 2: Convert to fraction form
    9,771.28/14,658.68 = 3,928.32/x
  3. Step 3: Cross multiply
    9,771.28x = 14,658.68 × 3,928.32
  4. Step 4: Simplify right side
    9,771.28x = 57,583,985.82
  5. Step 5: Solve for x
    x = 57,583,985.82/9,771.28
  6. Step 6: Final answer
    x = 5,893.19

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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.