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Finding the Fourth Proportional to 12,005.24, 16,564.08 and 7,223.61

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Solution

The fourth proportional to 12,005.24, 16,564.08 and 7,223.61 is: 9,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.24 : 16,564.08 = 7,223.61 : x
  2. Step 2: Convert to fraction form
    12,005.24/16,564.08 = 7,223.61/x
  3. Step 3: Cross multiply
    12,005.24x = 16,564.08 × 7,223.61
  4. Step 4: Simplify right side
    12,005.24x = 119,652,417.81
  5. Step 5: Solve for x
    x = 119,652,417.81/12,005.24
  6. Step 6: Final answer
    x = 9,966.68

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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.