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Finding the Fourth Proportional to 6,457.86, 9,691.61 and 2,509.74

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Solution

The fourth proportional to 6,457.86, 9,691.61 and 2,509.74 is: 3,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.86 : 9,691.61 = 2,509.74 : x
  2. Step 2: Convert to fraction form
    6,457.86/9,691.61 = 2,509.74/x
  3. Step 3: Cross multiply
    6,457.86x = 9,691.61 × 2,509.74
  4. Step 4: Simplify right side
    6,457.86x = 24,323,408.73
  5. Step 5: Solve for x
    x = 24,323,408.73/6,457.86
  6. Step 6: Final answer
    x = 3,766.48

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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.