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Finding the Fourth Proportional to 9,863.64, 14,829.48 and 7,929.36

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Solution

The fourth proportional to 9,863.64, 14,829.48 and 7,929.36 is: 11,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.64 : 14,829.48 = 7,929.36 : x
  2. Step 2: Convert to fraction form
    9,863.64/14,829.48 = 7,929.36/x
  3. Step 3: Cross multiply
    9,863.64x = 14,829.48 × 7,929.36
  4. Step 4: Simplify right side
    9,863.64x = 117,588,285.53
  5. Step 5: Solve for x
    x = 117,588,285.53/9,863.64
  6. Step 6: Final answer
    x = 11,921.39

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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.