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Finding the Fourth Proportional to 11,300.58, 15,586.97 and 7,757.64

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Solution

The fourth proportional to 11,300.58, 15,586.97 and 7,757.64 is: 10,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.58 : 15,586.97 = 7,757.64 : x
  2. Step 2: Convert to fraction form
    11,300.58/15,586.97 = 7,757.64/x
  3. Step 3: Cross multiply
    11,300.58x = 15,586.97 × 7,757.64
  4. Step 4: Simplify right side
    11,300.58x = 120,918,063.16
  5. Step 5: Solve for x
    x = 120,918,063.16/11,300.58
  6. Step 6: Final answer
    x = 10,700.16

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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.