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Finding the Fourth Proportional to 12,315.36, 18,462 and 4,518.72

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Solution

The fourth proportional to 12,315.36, 18,462 and 4,518.72 is: 6,774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.36 : 18,462 = 4,518.72 : x
  2. Step 2: Convert to fraction form
    12,315.36/18,462 = 4,518.72/x
  3. Step 3: Cross multiply
    12,315.36x = 18,462 × 4,518.72
  4. Step 4: Simplify right side
    12,315.36x = 83,424,608.64
  5. Step 5: Solve for x
    x = 83,424,608.64/12,315.36
  6. Step 6: Final answer
    x = 6,774.03

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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.