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Finding the Fourth Proportional to 7,612.84, 11,393.30 and 6,381.64

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Solution

The fourth proportional to 7,612.84, 11,393.30 and 6,381.64 is: 9,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.84 : 11,393.30 = 6,381.64 : x
  2. Step 2: Convert to fraction form
    7,612.84/11,393.30 = 6,381.64/x
  3. Step 3: Cross multiply
    7,612.84x = 11,393.30 × 6,381.64
  4. Step 4: Simplify right side
    7,612.84x = 72,707,939.01
  5. Step 5: Solve for x
    x = 72,707,939.01/7,612.84
  6. Step 6: Final answer
    x = 9,550.70

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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.