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Finding the Fourth Proportional to 14,076, 19,424.90 and 7,788.80

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Solution

The fourth proportional to 14,076, 19,424.90 and 7,788.80 is: 10,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076 : 19,424.90 = 7,788.80 : x
  2. Step 2: Convert to fraction form
    14,076/19,424.90 = 7,788.80/x
  3. Step 3: Cross multiply
    14,076x = 19,424.90 × 7,788.80
  4. Step 4: Simplify right side
    14,076x = 151,296,661.12
  5. Step 5: Solve for x
    x = 151,296,661.12/14,076
  6. Step 6: Final answer
    x = 10,748.56

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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.