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Finding the Fourth Proportional to 20,459, 28,233.45 and 12,075.50

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Solution

The fourth proportional to 20,459, 28,233.45 and 12,075.50 is: 16,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459 : 28,233.45 = 12,075.50 : x
  2. Step 2: Convert to fraction form
    20,459/28,233.45 = 12,075.50/x
  3. Step 3: Cross multiply
    20,459x = 28,233.45 × 12,075.50
  4. Step 4: Simplify right side
    20,459x = 340,933,025.48
  5. Step 5: Solve for x
    x = 340,933,025.48/20,459
  6. Step 6: Final answer
    x = 16,664.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.