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Finding the Fourth Proportional to 9,429, 13,012.44 and 5,237.24

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Solution

The fourth proportional to 9,429, 13,012.44 and 5,237.24 is: 7,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429 : 13,012.44 = 5,237.24 : x
  2. Step 2: Convert to fraction form
    9,429/13,012.44 = 5,237.24/x
  3. Step 3: Cross multiply
    9,429x = 13,012.44 × 5,237.24
  4. Step 4: Simplify right side
    9,429x = 68,149,271.27
  5. Step 5: Solve for x
    x = 68,149,271.27/9,429
  6. Step 6: Final answer
    x = 7,227.62

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Double scale
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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.