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Finding the Fourth Proportional to 21,667.74, 32,507.07 and 9,989.16

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Solution

The fourth proportional to 21,667.74, 32,507.07 and 9,989.16 is: 14,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.74 : 32,507.07 = 9,989.16 : x
  2. Step 2: Convert to fraction form
    21,667.74/32,507.07 = 9,989.16/x
  3. Step 3: Cross multiply
    21,667.74x = 32,507.07 × 9,989.16
  4. Step 4: Simplify right side
    21,667.74x = 324,718,160.83
  5. Step 5: Solve for x
    x = 324,718,160.83/21,667.74
  6. Step 6: Final answer
    x = 14,986.25

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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.