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Finding the Fourth Proportional to 7,262.40, 10,022.40 and 4,118.40

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Solution

The fourth proportional to 7,262.40, 10,022.40 and 4,118.40 is: 5,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.40 : 10,022.40 = 4,118.40 : x
  2. Step 2: Convert to fraction form
    7,262.40/10,022.40 = 4,118.40/x
  3. Step 3: Cross multiply
    7,262.40x = 10,022.40 × 4,118.40
  4. Step 4: Simplify right side
    7,262.40x = 41,276,252.16
  5. Step 5: Solve for x
    x = 41,276,252.16/7,262.40
  6. Step 6: Final answer
    x = 5,683.56

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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.