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Finding the Fourth Proportional to 6,644.80, 9,967.77 and 1,714.40

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Solution

The fourth proportional to 6,644.80, 9,967.77 and 1,714.40 is: 2,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.80 : 9,967.77 = 1,714.40 : x
  2. Step 2: Convert to fraction form
    6,644.80/9,967.77 = 1,714.40/x
  3. Step 3: Cross multiply
    6,644.80x = 9,967.77 × 1,714.40
  4. Step 4: Simplify right side
    6,644.80x = 17,088,744.89
  5. Step 5: Solve for x
    x = 17,088,744.89/6,644.80
  6. Step 6: Final answer
    x = 2,571.75

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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.