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Finding the Fourth Proportional to 14,640.99, 21,918.42 and 9,076.47

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Solution

The fourth proportional to 14,640.99, 21,918.42 and 9,076.47 is: 13,588.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.99 : 21,918.42 = 9,076.47 : x
  2. Step 2: Convert to fraction form
    14,640.99/21,918.42 = 9,076.47/x
  3. Step 3: Cross multiply
    14,640.99x = 21,918.42 × 9,076.47
  4. Step 4: Simplify right side
    14,640.99x = 198,941,881.58
  5. Step 5: Solve for x
    x = 198,941,881.58/14,640.99
  6. Step 6: Final answer
    x = 13,588.01

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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.