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Finding the Fourth Proportional to 13,302.60, 19,929.30 and 7,758.60

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Solution

The fourth proportional to 13,302.60, 19,929.30 and 7,758.60 is: 11,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.60 : 19,929.30 = 7,758.60 : x
  2. Step 2: Convert to fraction form
    13,302.60/19,929.30 = 7,758.60/x
  3. Step 3: Cross multiply
    13,302.60x = 19,929.30 × 7,758.60
  4. Step 4: Simplify right side
    13,302.60x = 154,623,466.98
  5. Step 5: Solve for x
    x = 154,623,466.98/13,302.60
  6. Step 6: Final answer
    x = 11,623.55

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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.