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Finding the Fourth Proportional to 3,065.12, 4,597.72 and 756.64

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Solution

The fourth proportional to 3,065.12, 4,597.72 and 756.64 is: 1,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.12 : 4,597.72 = 756.64 : x
  2. Step 2: Convert to fraction form
    3,065.12/4,597.72 = 756.64/x
  3. Step 3: Cross multiply
    3,065.12x = 4,597.72 × 756.64
  4. Step 4: Simplify right side
    3,065.12x = 3,478,818.86
  5. Step 5: Solve for x
    x = 3,478,818.86/3,065.12
  6. Step 6: Final answer
    x = 1,134.97

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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.