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Finding the Fourth Proportional to 9,157.86, 13,724.64 and 4,987.17

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Solution

The fourth proportional to 9,157.86, 13,724.64 and 4,987.17 is: 7,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.86 : 13,724.64 = 4,987.17 : x
  2. Step 2: Convert to fraction form
    9,157.86/13,724.64 = 4,987.17/x
  3. Step 3: Cross multiply
    9,157.86x = 13,724.64 × 4,987.17
  4. Step 4: Simplify right side
    9,157.86x = 68,447,112.87
  5. Step 5: Solve for x
    x = 68,447,112.87/9,157.86
  6. Step 6: Final answer
    x = 7,474.14

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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.