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Finding the Fourth Proportional to 7,665.68, 11,500.68 and 5,587.76

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Solution

The fourth proportional to 7,665.68, 11,500.68 and 5,587.76 is: 8,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.68 : 11,500.68 = 5,587.76 : x
  2. Step 2: Convert to fraction form
    7,665.68/11,500.68 = 5,587.76/x
  3. Step 3: Cross multiply
    7,665.68x = 11,500.68 × 5,587.76
  4. Step 4: Simplify right side
    7,665.68x = 64,263,039.68
  5. Step 5: Solve for x
    x = 64,263,039.68/7,665.68
  6. Step 6: Final answer
    x = 8,383.21

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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.