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Finding the Fourth Proportional to 7,725.69, 11,602.58 and 7,412.49

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Solution

The fourth proportional to 7,725.69, 11,602.58 and 7,412.49 is: 11,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.69 : 11,602.58 = 7,412.49 : x
  2. Step 2: Convert to fraction form
    7,725.69/11,602.58 = 7,412.49/x
  3. Step 3: Cross multiply
    7,725.69x = 11,602.58 × 7,412.49
  4. Step 4: Simplify right side
    7,725.69x = 86,003,971.16
  5. Step 5: Solve for x
    x = 86,003,971.16/7,725.69
  6. Step 6: Final answer
    x = 11,132.21

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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.