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Finding the Fourth Proportional to 9,952.80, 14,905.20 and 5,325.60

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Solution

The fourth proportional to 9,952.80, 14,905.20 and 5,325.60 is: 7,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.80 : 14,905.20 = 5,325.60 : x
  2. Step 2: Convert to fraction form
    9,952.80/14,905.20 = 5,325.60/x
  3. Step 3: Cross multiply
    9,952.80x = 14,905.20 × 5,325.60
  4. Step 4: Simplify right side
    9,952.80x = 79,379,133.12
  5. Step 5: Solve for x
    x = 79,379,133.12/9,952.80
  6. Step 6: Final answer
    x = 7,975.56

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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.