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Finding the Fourth Proportional to 12,475, 18,717.36 and 4,684.42

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Solution

The fourth proportional to 12,475, 18,717.36 and 4,684.42 is: 7,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475 : 18,717.36 = 4,684.42 : x
  2. Step 2: Convert to fraction form
    12,475/18,717.36 = 4,684.42/x
  3. Step 3: Cross multiply
    12,475x = 18,717.36 × 4,684.42
  4. Step 4: Simplify right side
    12,475x = 87,679,975.53
  5. Step 5: Solve for x
    x = 87,679,975.53/12,475
  6. Step 6: Final answer
    x = 7,028.45

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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.