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Finding the Fourth Proportional to 9,509.99, 13,123.71 and 5,318.24

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Solution

The fourth proportional to 9,509.99, 13,123.71 and 5,318.24 is: 7,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.99 : 13,123.71 = 5,318.24 : x
  2. Step 2: Convert to fraction form
    9,509.99/13,123.71 = 5,318.24/x
  3. Step 3: Cross multiply
    9,509.99x = 13,123.71 × 5,318.24
  4. Step 4: Simplify right side
    9,509.99x = 69,795,039.47
  5. Step 5: Solve for x
    x = 69,795,039.47/9,509.99
  6. Step 6: Final answer
    x = 7,339.13

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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.