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Finding the Fourth Proportional to 6,457, 9,686.04 and 2,561.44

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Solution

The fourth proportional to 6,457, 9,686.04 and 2,561.44 is: 3,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457 : 9,686.04 = 2,561.44 : x
  2. Step 2: Convert to fraction form
    6,457/9,686.04 = 2,561.44/x
  3. Step 3: Cross multiply
    6,457x = 9,686.04 × 2,561.44
  4. Step 4: Simplify right side
    6,457x = 24,810,210.30
  5. Step 5: Solve for x
    x = 24,810,210.30/6,457
  6. Step 6: Final answer
    x = 3,842.37

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1.5x scale

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.