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Finding the Fourth Proportional to 13,970, 19,278.64 and 8,001.76

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Solution

The fourth proportional to 13,970, 19,278.64 and 8,001.76 is: 11,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970 : 19,278.64 = 8,001.76 : x
  2. Step 2: Convert to fraction form
    13,970/19,278.64 = 8,001.76/x
  3. Step 3: Cross multiply
    13,970x = 19,278.64 × 8,001.76
  4. Step 4: Simplify right side
    13,970x = 154,263,050.41
  5. Step 5: Solve for x
    x = 154,263,050.41/13,970
  6. Step 6: Final answer
    x = 11,042.45

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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.