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Finding the Fourth Proportional to 2,407.70, 3,319.89 and 1,964.22

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Solution

The fourth proportional to 2,407.70, 3,319.89 and 1,964.22 is: 2,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.70 : 3,319.89 = 1,964.22 : x
  2. Step 2: Convert to fraction form
    2,407.70/3,319.89 = 1,964.22/x
  3. Step 3: Cross multiply
    2,407.70x = 3,319.89 × 1,964.22
  4. Step 4: Simplify right side
    2,407.70x = 6,520,994.34
  5. Step 5: Solve for x
    x = 6,520,994.34/2,407.70
  6. Step 6: Final answer
    x = 2,708.40

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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.