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Finding the Fourth Proportional to 8,760, 12,088.64 and 5,223.36

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Solution

The fourth proportional to 8,760, 12,088.64 and 5,223.36 is: 7,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760 : 12,088.64 = 5,223.36 : x
  2. Step 2: Convert to fraction form
    8,760/12,088.64 = 5,223.36/x
  3. Step 3: Cross multiply
    8,760x = 12,088.64 × 5,223.36
  4. Step 4: Simplify right side
    8,760x = 63,143,318.63
  5. Step 5: Solve for x
    x = 63,143,318.63/8,760
  6. Step 6: Final answer
    x = 7,208.14

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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.