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Finding the Fourth Proportional to 20,523.60, 30,759.84 and 10,657.08

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Solution

The fourth proportional to 20,523.60, 30,759.84 and 10,657.08 is: 15,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.60 : 30,759.84 = 10,657.08 : x
  2. Step 2: Convert to fraction form
    20,523.60/30,759.84 = 10,657.08/x
  3. Step 3: Cross multiply
    20,523.60x = 30,759.84 × 10,657.08
  4. Step 4: Simplify right side
    20,523.60x = 327,810,075.67
  5. Step 5: Solve for x
    x = 327,810,075.67/20,523.60
  6. Step 6: Final answer
    x = 15,972.35

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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.