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Finding the Fourth Proportional to 6,457.44, 9,686.16 and 1,840.44

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Solution

The fourth proportional to 6,457.44, 9,686.16 and 1,840.44 is: 2,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.44 : 9,686.16 = 1,840.44 : x
  2. Step 2: Convert to fraction form
    6,457.44/9,686.16 = 1,840.44/x
  3. Step 3: Cross multiply
    6,457.44x = 9,686.16 × 1,840.44
  4. Step 4: Simplify right side
    6,457.44x = 17,826,787.11
  5. Step 5: Solve for x
    x = 17,826,787.11/6,457.44
  6. Step 6: Final answer
    x = 2,760.66

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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.