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Finding the Fourth Proportional to 7,457.81, 11,231.11 and 6,495.53

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Solution

The fourth proportional to 7,457.81, 11,231.11 and 6,495.53 is: 9,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.81 : 11,231.11 = 6,495.53 : x
  2. Step 2: Convert to fraction form
    7,457.81/11,231.11 = 6,495.53/x
  3. Step 3: Cross multiply
    7,457.81x = 11,231.11 × 6,495.53
  4. Step 4: Simplify right side
    7,457.81x = 72,952,011.94
  5. Step 5: Solve for x
    x = 72,952,011.94/7,457.81
  6. Step 6: Final answer
    x = 9,781.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.