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Finding the Fourth Proportional to 9,580.20, 13,232.94 and 7,369.20

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Solution

The fourth proportional to 9,580.20, 13,232.94 and 7,369.20 is: 10,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.20 : 13,232.94 = 7,369.20 : x
  2. Step 2: Convert to fraction form
    9,580.20/13,232.94 = 7,369.20/x
  3. Step 3: Cross multiply
    9,580.20x = 13,232.94 × 7,369.20
  4. Step 4: Simplify right side
    9,580.20x = 97,516,181.45
  5. Step 5: Solve for x
    x = 97,516,181.45/9,580.20
  6. Step 6: Final answer
    x = 10,178.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.