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Finding the Fourth Proportional to 6,457, 9,686.94 and 2,353

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Solution

The fourth proportional to 6,457, 9,686.94 and 2,353 is: 3,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457 : 9,686.94 = 2,353 : x
  2. Step 2: Convert to fraction form
    6,457/9,686.94 = 2,353/x
  3. Step 3: Cross multiply
    6,457x = 9,686.94 × 2,353
  4. Step 4: Simplify right side
    6,457x = 22,793,369.82
  5. Step 5: Solve for x
    x = 22,793,369.82/6,457
  6. Step 6: Final answer
    x = 3,530.02

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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.