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Finding the Fourth Proportional to 9,729.29, 14,579.82 and 5,283.20

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Solution

The fourth proportional to 9,729.29, 14,579.82 and 5,283.20 is: 7,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.29 : 14,579.82 = 5,283.20 : x
  2. Step 2: Convert to fraction form
    9,729.29/14,579.82 = 5,283.20/x
  3. Step 3: Cross multiply
    9,729.29x = 14,579.82 × 5,283.20
  4. Step 4: Simplify right side
    9,729.29x = 77,028,032.12
  5. Step 5: Solve for x
    x = 77,028,032.12/9,729.29
  6. Step 6: Final answer
    x = 7,917.13

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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.