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Finding the Fourth Proportional to 14,653.32, 20,221.68 and 8,688

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Solution

The fourth proportional to 14,653.32, 20,221.68 and 8,688 is: 11,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.32 : 20,221.68 = 8,688 : x
  2. Step 2: Convert to fraction form
    14,653.32/20,221.68 = 8,688/x
  3. Step 3: Cross multiply
    14,653.32x = 20,221.68 × 8,688
  4. Step 4: Simplify right side
    14,653.32x = 175,685,955.84
  5. Step 5: Solve for x
    x = 175,685,955.84/14,653.32
  6. Step 6: Final answer
    x = 11,989.50

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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.