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Finding the Fourth Proportional to 20,172.90, 30,259.35 and 11,424.90

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Solution

The fourth proportional to 20,172.90, 30,259.35 and 11,424.90 is: 17,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.90 : 30,259.35 = 11,424.90 : x
  2. Step 2: Convert to fraction form
    20,172.90/30,259.35 = 11,424.90/x
  3. Step 3: Cross multiply
    20,172.90x = 30,259.35 × 11,424.90
  4. Step 4: Simplify right side
    20,172.90x = 345,710,047.82
  5. Step 5: Solve for x
    x = 345,710,047.82/20,172.90
  6. Step 6: Final answer
    x = 17,137.35

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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.