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Finding the Fourth Proportional to 7,720.25, 10,653.12 and 5,704.70

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Solution

The fourth proportional to 7,720.25, 10,653.12 and 5,704.70 is: 7,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.25 : 10,653.12 = 5,704.70 : x
  2. Step 2: Convert to fraction form
    7,720.25/10,653.12 = 5,704.70/x
  3. Step 3: Cross multiply
    7,720.25x = 10,653.12 × 5,704.70
  4. Step 4: Simplify right side
    7,720.25x = 60,772,800.40
  5. Step 5: Solve for x
    x = 60,772,800.40/7,720.25
  6. Step 6: Final answer
    x = 7,871.87

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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.