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Finding the Fourth Proportional to 20,259, 30,386.97 and 7,112.25

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Solution

The fourth proportional to 20,259, 30,386.97 and 7,112.25 is: 10,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,259 : 30,386.97 = 7,112.25 : x
  2. Step 2: Convert to fraction form
    20,259/30,386.97 = 7,112.25/x
  3. Step 3: Cross multiply
    20,259x = 30,386.97 × 7,112.25
  4. Step 4: Simplify right side
    20,259x = 216,119,727.38
  5. Step 5: Solve for x
    x = 216,119,727.38/20,259
  6. Step 6: Final answer
    x = 10,667.84

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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.