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Finding the Fourth Proportional to 14,370.72, 19,823 and 8,772

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Solution

The fourth proportional to 14,370.72, 19,823 and 8,772 is: 12,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,370.72 : 19,823 = 8,772 : x
  2. Step 2: Convert to fraction form
    14,370.72/19,823 = 8,772/x
  3. Step 3: Cross multiply
    14,370.72x = 19,823 × 8,772
  4. Step 4: Simplify right side
    14,370.72x = 173,887,356
  5. Step 5: Solve for x
    x = 173,887,356/14,370.72
  6. Step 6: Final answer
    x = 12,100.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.