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Finding the Fourth Proportional to 9,509.92, 13,123.92 and 5,318.24

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Solution

The fourth proportional to 9,509.92, 13,123.92 and 5,318.24 is: 7,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.92 : 13,123.92 = 5,318.24 : x
  2. Step 2: Convert to fraction form
    9,509.92/13,123.92 = 5,318.24/x
  3. Step 3: Cross multiply
    9,509.92x = 13,123.92 × 5,318.24
  4. Step 4: Simplify right side
    9,509.92x = 69,796,156.30
  5. Step 5: Solve for x
    x = 69,796,156.30/9,509.92
  6. Step 6: Final answer
    x = 7,339.30

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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.