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Finding the Fourth Proportional to 14,193.76, 21,302 and 6,403.20

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Solution

The fourth proportional to 14,193.76, 21,302 and 6,403.20 is: 9,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.76 : 21,302 = 6,403.20 : x
  2. Step 2: Convert to fraction form
    14,193.76/21,302 = 6,403.20/x
  3. Step 3: Cross multiply
    14,193.76x = 21,302 × 6,403.20
  4. Step 4: Simplify right side
    14,193.76x = 136,400,966.40
  5. Step 5: Solve for x
    x = 136,400,966.40/14,193.76
  6. Step 6: Final answer
    x = 9,609.92

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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.