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Finding the Fourth Proportional to 6,457.44, 9,686.08 and 4,265.60

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Solution

The fourth proportional to 6,457.44, 9,686.08 and 4,265.60 is: 6,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.44 : 9,686.08 = 4,265.60 : x
  2. Step 2: Convert to fraction form
    6,457.44/9,686.08 = 4,265.60/x
  3. Step 3: Cross multiply
    6,457.44x = 9,686.08 × 4,265.60
  4. Step 4: Simplify right side
    6,457.44x = 41,316,942.85
  5. Step 5: Solve for x
    x = 41,316,942.85/6,457.44
  6. Step 6: Final answer
    x = 6,398.35

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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.