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Finding the Fourth Proportional to 12,018, 16,580.20 and 7,539.92

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Solution

The fourth proportional to 12,018, 16,580.20 and 7,539.92 is: 10,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018 : 16,580.20 = 7,539.92 : x
  2. Step 2: Convert to fraction form
    12,018/16,580.20 = 7,539.92/x
  3. Step 3: Cross multiply
    12,018x = 16,580.20 × 7,539.92
  4. Step 4: Simplify right side
    12,018x = 125,013,381.58
  5. Step 5: Solve for x
    x = 125,013,381.58/12,018
  6. Step 6: Final answer
    x = 10,402.18

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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.