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Finding the Fourth Proportional to 8,729.80, 13,111.50 and 7,483.24

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Solution

The fourth proportional to 8,729.80, 13,111.50 and 7,483.24 is: 11,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.80 : 13,111.50 = 7,483.24 : x
  2. Step 2: Convert to fraction form
    8,729.80/13,111.50 = 7,483.24/x
  3. Step 3: Cross multiply
    8,729.80x = 13,111.50 × 7,483.24
  4. Step 4: Simplify right side
    8,729.80x = 98,116,501.26
  5. Step 5: Solve for x
    x = 98,116,501.26/8,729.80
  6. Step 6: Final answer
    x = 11,239.26

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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.