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Finding the Fourth Proportional to 12,672, 19,014.48 and 4,878.72

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Solution

The fourth proportional to 12,672, 19,014.48 and 4,878.72 is: 7,320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672 : 19,014.48 = 4,878.72 : x
  2. Step 2: Convert to fraction form
    12,672/19,014.48 = 4,878.72/x
  3. Step 3: Cross multiply
    12,672x = 19,014.48 × 4,878.72
  4. Step 4: Simplify right side
    12,672x = 92,766,323.87
  5. Step 5: Solve for x
    x = 92,766,323.87/12,672
  6. Step 6: Final answer
    x = 7,320.57

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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.