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Finding the Fourth Proportional to 5,309.42, 7,965.75 and 2,714.18

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Solution

The fourth proportional to 5,309.42, 7,965.75 and 2,714.18 is: 4,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.42 : 7,965.75 = 2,714.18 : x
  2. Step 2: Convert to fraction form
    5,309.42/7,965.75 = 2,714.18/x
  3. Step 3: Cross multiply
    5,309.42x = 7,965.75 × 2,714.18
  4. Step 4: Simplify right side
    5,309.42x = 21,620,479.34
  5. Step 5: Solve for x
    x = 21,620,479.34/5,309.42
  6. Step 6: Final answer
    x = 4,072.10

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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.