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Finding the Fourth Proportional to 7,881.16, 11,824.32 and 6,719.92

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Solution

The fourth proportional to 7,881.16, 11,824.32 and 6,719.92 is: 10,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.16 : 11,824.32 = 6,719.92 : x
  2. Step 2: Convert to fraction form
    7,881.16/11,824.32 = 6,719.92/x
  3. Step 3: Cross multiply
    7,881.16x = 11,824.32 × 6,719.92
  4. Step 4: Simplify right side
    7,881.16x = 79,458,484.45
  5. Step 5: Solve for x
    x = 79,458,484.45/7,881.16
  6. Step 6: Final answer
    x = 10,082.08

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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.