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Finding the Fourth Proportional to 6,494.60, 9,713.10 and 5,457.80

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Solution

The fourth proportional to 6,494.60, 9,713.10 and 5,457.80 is: 8,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.60 : 9,713.10 = 5,457.80 : x
  2. Step 2: Convert to fraction form
    6,494.60/9,713.10 = 5,457.80/x
  3. Step 3: Cross multiply
    6,494.60x = 9,713.10 × 5,457.80
  4. Step 4: Simplify right side
    6,494.60x = 53,012,157.18
  5. Step 5: Solve for x
    x = 53,012,157.18/6,494.60
  6. Step 6: Final answer
    x = 8,162.50

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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.