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Finding the Fourth Proportional to 9,437.40, 13,022.40 and 5,458.20

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Solution

The fourth proportional to 9,437.40, 13,022.40 and 5,458.20 is: 7,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.40 : 13,022.40 = 5,458.20 : x
  2. Step 2: Convert to fraction form
    9,437.40/13,022.40 = 5,458.20/x
  3. Step 3: Cross multiply
    9,437.40x = 13,022.40 × 5,458.20
  4. Step 4: Simplify right side
    9,437.40x = 71,078,863.68
  5. Step 5: Solve for x
    x = 71,078,863.68/9,437.40
  6. Step 6: Final answer
    x = 7,531.62

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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.