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Finding the Fourth Proportional to 6,154, 9,185.48 and 5,720.56

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Solution

The fourth proportional to 6,154, 9,185.48 and 5,720.56 is: 8,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154 : 9,185.48 = 5,720.56 : x
  2. Step 2: Convert to fraction form
    6,154/9,185.48 = 5,720.56/x
  3. Step 3: Cross multiply
    6,154x = 9,185.48 × 5,720.56
  4. Step 4: Simplify right side
    6,154x = 52,546,089.47
  5. Step 5: Solve for x
    x = 52,546,089.47/6,154
  6. Step 6: Final answer
    x = 8,538.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.