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Finding the Fourth Proportional to 9,903.20, 13,668.04 and 5,655

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Solution

The fourth proportional to 9,903.20, 13,668.04 and 5,655 is: 7,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.20 : 13,668.04 = 5,655 : x
  2. Step 2: Convert to fraction form
    9,903.20/13,668.04 = 5,655/x
  3. Step 3: Cross multiply
    9,903.20x = 13,668.04 × 5,655
  4. Step 4: Simplify right side
    9,903.20x = 77,292,766.20
  5. Step 5: Solve for x
    x = 77,292,766.20/9,903.20
  6. Step 6: Final answer
    x = 7,804.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.