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Finding the Fourth Proportional to 12,020.56, 16,590.36 and 7,548.16

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Solution

The fourth proportional to 12,020.56, 16,590.36 and 7,548.16 is: 10,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020.56 : 16,590.36 = 7,548.16 : x
  2. Step 2: Convert to fraction form
    12,020.56/16,590.36 = 7,548.16/x
  3. Step 3: Cross multiply
    12,020.56x = 16,590.36 × 7,548.16
  4. Step 4: Simplify right side
    12,020.56x = 125,226,691.74
  5. Step 5: Solve for x
    x = 125,226,691.74/12,020.56
  6. Step 6: Final answer
    x = 10,417.71

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