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Finding the Fourth Proportional to 12,020.88, 16,590 and 7,548

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Solution

The fourth proportional to 12,020.88, 16,590 and 7,548 is: 10,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020.88 : 16,590 = 7,548 : x
  2. Step 2: Convert to fraction form
    12,020.88/16,590 = 7,548/x
  3. Step 3: Cross multiply
    12,020.88x = 16,590 × 7,548
  4. Step 4: Simplify right side
    12,020.88x = 125,221,320
  5. Step 5: Solve for x
    x = 125,221,320/12,020.88
  6. Step 6: Final answer
    x = 10,416.98

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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.