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Finding the Fourth Proportional to 4,680, 6,453.14 and 3,826.59

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Solution

The fourth proportional to 4,680, 6,453.14 and 3,826.59 is: 5,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680 : 6,453.14 = 3,826.59 : x
  2. Step 2: Convert to fraction form
    4,680/6,453.14 = 3,826.59/x
  3. Step 3: Cross multiply
    4,680x = 6,453.14 × 3,826.59
  4. Step 4: Simplify right side
    4,680x = 24,693,501.86
  5. Step 5: Solve for x
    x = 24,693,501.86/4,680
  6. Step 6: Final answer
    x = 5,276.39

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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.