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Finding the Fourth Proportional to 11,548.80, 17,320.80 and 4,975.20

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Solution

The fourth proportional to 11,548.80, 17,320.80 and 4,975.20 is: 7,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.80 : 17,320.80 = 4,975.20 : x
  2. Step 2: Convert to fraction form
    11,548.80/17,320.80 = 4,975.20/x
  3. Step 3: Cross multiply
    11,548.80x = 17,320.80 × 4,975.20
  4. Step 4: Simplify right side
    11,548.80x = 86,174,444.16
  5. Step 5: Solve for x
    x = 86,174,444.16/11,548.80
  6. Step 6: Final answer
    x = 7,461.77

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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.