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Finding the Fourth Proportional to 14,072, 19,419.72 and 8,483.36

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Solution

The fourth proportional to 14,072, 19,419.72 and 8,483.36 is: 11,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072 : 19,419.72 = 8,483.36 : x
  2. Step 2: Convert to fraction form
    14,072/19,419.72 = 8,483.36/x
  3. Step 3: Cross multiply
    14,072x = 19,419.72 × 8,483.36
  4. Step 4: Simplify right side
    14,072x = 164,744,475.86
  5. Step 5: Solve for x
    x = 164,744,475.86/14,072
  6. Step 6: Final answer
    x = 11,707.25

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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.