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Finding the Fourth Proportional to 13,103.60, 19,664.04 and 9,649.04

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Solution

The fourth proportional to 13,103.60, 19,664.04 and 9,649.04 is: 14,479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.60 : 19,664.04 = 9,649.04 : x
  2. Step 2: Convert to fraction form
    13,103.60/19,664.04 = 9,649.04/x
  3. Step 3: Cross multiply
    13,103.60x = 19,664.04 × 9,649.04
  4. Step 4: Simplify right side
    13,103.60x = 189,739,108.52
  5. Step 5: Solve for x
    x = 189,739,108.52/13,103.60
  6. Step 6: Final answer
    x = 14,479.92

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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.