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Finding the Fourth Proportional to 6,457.86, 8,853.78 and 6,341.22

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Solution

The fourth proportional to 6,457.86, 8,853.78 and 6,341.22 is: 8,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.86 : 8,853.78 = 6,341.22 : x
  2. Step 2: Convert to fraction form
    6,457.86/8,853.78 = 6,341.22/x
  3. Step 3: Cross multiply
    6,457.86x = 8,853.78 × 6,341.22
  4. Step 4: Simplify right side
    6,457.86x = 56,143,766.81
  5. Step 5: Solve for x
    x = 56,143,766.81/6,457.86
  6. Step 6: Final answer
    x = 8,693.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.