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Finding the Fourth Proportional to 9,007.70, 12,428.42 and 5,230.26

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Solution

The fourth proportional to 9,007.70, 12,428.42 and 5,230.26 is: 7,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.70 : 12,428.42 = 5,230.26 : x
  2. Step 2: Convert to fraction form
    9,007.70/12,428.42 = 5,230.26/x
  3. Step 3: Cross multiply
    9,007.70x = 12,428.42 × 5,230.26
  4. Step 4: Simplify right side
    9,007.70x = 65,003,841.84
  5. Step 5: Solve for x
    x = 65,003,841.84/9,007.70
  6. Step 6: Final answer
    x = 7,216.48

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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.