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Finding the Fourth Proportional to 14,364.32, 19,816.48 and 8,772

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Solution

The fourth proportional to 14,364.32, 19,816.48 and 8,772 is: 12,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.32 : 19,816.48 = 8,772 : x
  2. Step 2: Convert to fraction form
    14,364.32/19,816.48 = 8,772/x
  3. Step 3: Cross multiply
    14,364.32x = 19,816.48 × 8,772
  4. Step 4: Simplify right side
    14,364.32x = 173,830,162.56
  5. Step 5: Solve for x
    x = 173,830,162.56/14,364.32
  6. Step 6: Final answer
    x = 12,101.52

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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.