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Finding the Fourth Proportional to 13,264.80, 19,890.72 and 7,720.08

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Solution

The fourth proportional to 13,264.80, 19,890.72 and 7,720.08 is: 11,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.80 : 19,890.72 = 7,720.08 : x
  2. Step 2: Convert to fraction form
    13,264.80/19,890.72 = 7,720.08/x
  3. Step 3: Cross multiply
    13,264.80x = 19,890.72 × 7,720.08
  4. Step 4: Simplify right side
    13,264.80x = 153,557,949.66
  5. Step 5: Solve for x
    x = 153,557,949.66/13,264.80
  6. Step 6: Final answer
    x = 11,576.35

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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.