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Finding the Fourth Proportional to 14,828.00, 20,455.56 and 9,160.70

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Solution

The fourth proportional to 14,828.00, 20,455.56 and 9,160.70 is: 12,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.00 : 20,455.56 = 9,160.70 : x
  2. Step 2: Convert to fraction form
    14,828.00/20,455.56 = 9,160.70/x
  3. Step 3: Cross multiply
    14,828.00x = 20,455.56 × 9,160.70
  4. Step 4: Simplify right side
    14,828.00x = 187,387,146.21
  5. Step 5: Solve for x
    x = 187,387,146.21/14,828.00
  6. Step 6: Final answer
    x = 12,637.39

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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.