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Finding the Fourth Proportional to 8,391.62, 11,582.88 and 5,597.12

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Solution

The fourth proportional to 8,391.62, 11,582.88 and 5,597.12 is: 7,725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.62 : 11,582.88 = 5,597.12 : x
  2. Step 2: Convert to fraction form
    8,391.62/11,582.88 = 5,597.12/x
  3. Step 3: Cross multiply
    8,391.62x = 11,582.88 × 5,597.12
  4. Step 4: Simplify right side
    8,391.62x = 64,830,769.31
  5. Step 5: Solve for x
    x = 64,830,769.31/8,391.62
  6. Step 6: Final answer
    x = 7,725.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.