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Finding the Fourth Proportional to 12,128.20, 16,714.98 and 9,123.64

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Solution

The fourth proportional to 12,128.20, 16,714.98 and 9,123.64 is: 12,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.20 : 16,714.98 = 9,123.64 : x
  2. Step 2: Convert to fraction form
    12,128.20/16,714.98 = 9,123.64/x
  3. Step 3: Cross multiply
    12,128.20x = 16,714.98 × 9,123.64
  4. Step 4: Simplify right side
    12,128.20x = 152,501,460.13
  5. Step 5: Solve for x
    x = 152,501,460.13/12,128.20
  6. Step 6: Final answer
    x = 12,574.12

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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.