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Finding the Fourth Proportional to 6,407.34, 9,612.56 and 3,119.68

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Solution

The fourth proportional to 6,407.34, 9,612.56 and 3,119.68 is: 4,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.34 : 9,612.56 = 3,119.68 : x
  2. Step 2: Convert to fraction form
    6,407.34/9,612.56 = 3,119.68/x
  3. Step 3: Cross multiply
    6,407.34x = 9,612.56 × 3,119.68
  4. Step 4: Simplify right side
    6,407.34x = 29,988,113.45
  5. Step 5: Solve for x
    x = 29,988,113.45/6,407.34
  6. Step 6: Final answer
    x = 4,680.28

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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.