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Finding the Fourth Proportional to 9,019, 12,445.35 and 5,660.74

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Solution

The fourth proportional to 9,019, 12,445.35 and 5,660.74 is: 7,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019 : 12,445.35 = 5,660.74 : x
  2. Step 2: Convert to fraction form
    9,019/12,445.35 = 5,660.74/x
  3. Step 3: Cross multiply
    9,019x = 12,445.35 × 5,660.74
  4. Step 4: Simplify right side
    9,019x = 70,449,890.56
  5. Step 5: Solve for x
    x = 70,449,890.56/9,019
  6. Step 6: Final answer
    x = 7,811.28

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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.