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Finding the Fourth Proportional to 6,457, 8,909.80 and 3,585.68

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Solution

The fourth proportional to 6,457, 8,909.80 and 3,585.68 is: 4,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457 : 8,909.80 = 3,585.68 : x
  2. Step 2: Convert to fraction form
    6,457/8,909.80 = 3,585.68/x
  3. Step 3: Cross multiply
    6,457x = 8,909.80 × 3,585.68
  4. Step 4: Simplify right side
    6,457x = 31,947,691.66
  5. Step 5: Solve for x
    x = 31,947,691.66/6,457
  6. Step 6: Final answer
    x = 4,947.76

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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.