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Finding the Fourth Proportional to 12,020.64, 18,030.96 and 7,864.14

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Solution

The fourth proportional to 12,020.64, 18,030.96 and 7,864.14 is: 11,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020.64 : 18,030.96 = 7,864.14 : x
  2. Step 2: Convert to fraction form
    12,020.64/18,030.96 = 7,864.14/x
  3. Step 3: Cross multiply
    12,020.64x = 18,030.96 × 7,864.14
  4. Step 4: Simplify right side
    12,020.64x = 141,797,903.62
  5. Step 5: Solve for x
    x = 141,797,903.62/12,020.64
  6. Step 6: Final answer
    x = 11,796.21

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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.