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Finding the Fourth Proportional to 9,020.40, 13,514.40 and 7,724.40

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Solution

The fourth proportional to 9,020.40, 13,514.40 and 7,724.40 is: 11,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.40 : 13,514.40 = 7,724.40 : x
  2. Step 2: Convert to fraction form
    9,020.40/13,514.40 = 7,724.40/x
  3. Step 3: Cross multiply
    9,020.40x = 13,514.40 × 7,724.40
  4. Step 4: Simplify right side
    9,020.40x = 104,390,631.36
  5. Step 5: Solve for x
    x = 104,390,631.36/9,020.40
  6. Step 6: Final answer
    x = 11,572.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.