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Finding the Fourth Proportional to 6,407.40, 8,836.70 and 4,168.46

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Solution

The fourth proportional to 6,407.40, 8,836.70 and 4,168.46 is: 5,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.40 : 8,836.70 = 4,168.46 : x
  2. Step 2: Convert to fraction form
    6,407.40/8,836.70 = 4,168.46/x
  3. Step 3: Cross multiply
    6,407.40x = 8,836.70 × 4,168.46
  4. Step 4: Simplify right side
    6,407.40x = 36,835,431.73
  5. Step 5: Solve for x
    x = 36,835,431.73/6,407.40
  6. Step 6: Final answer
    x = 5,748.89

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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.