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Finding the Fourth Proportional to 7,768.80, 10,720.80 and 4,412.28

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Solution

The fourth proportional to 7,768.80, 10,720.80 and 4,412.28 is: 6,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.80 : 10,720.80 = 4,412.28 : x
  2. Step 2: Convert to fraction form
    7,768.80/10,720.80 = 4,412.28/x
  3. Step 3: Cross multiply
    7,768.80x = 10,720.80 × 4,412.28
  4. Step 4: Simplify right side
    7,768.80x = 47,303,171.42
  5. Step 5: Solve for x
    x = 47,303,171.42/7,768.80
  6. Step 6: Final answer
    x = 6,088.86

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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.