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Finding the Fourth Proportional to 3,407.52, 4,707 and 2,670.78

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Solution

The fourth proportional to 3,407.52, 4,707 and 2,670.78 is: 3,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.52 : 4,707 = 2,670.78 : x
  2. Step 2: Convert to fraction form
    3,407.52/4,707 = 2,670.78/x
  3. Step 3: Cross multiply
    3,407.52x = 4,707 × 2,670.78
  4. Step 4: Simplify right side
    3,407.52x = 12,571,361.46
  5. Step 5: Solve for x
    x = 12,571,361.46/3,407.52
  6. Step 6: Final answer
    x = 3,689.30

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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.