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Finding the Fourth Proportional to 7,688.76, 11,491.01 and 5,613.14

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Solution

The fourth proportional to 7,688.76, 11,491.01 and 5,613.14 is: 8,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.76 : 11,491.01 = 5,613.14 : x
  2. Step 2: Convert to fraction form
    7,688.76/11,491.01 = 5,613.14/x
  3. Step 3: Cross multiply
    7,688.76x = 11,491.01 × 5,613.14
  4. Step 4: Simplify right side
    7,688.76x = 64,500,583.40
  5. Step 5: Solve for x
    x = 64,500,583.40/7,688.76
  6. Step 6: Final answer
    x = 8,388.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.