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Finding the Fourth Proportional to 8,640.24, 12,957.12 and 4,020

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Solution

The fourth proportional to 8,640.24, 12,957.12 and 4,020 is: 6,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.24 : 12,957.12 = 4,020 : x
  2. Step 2: Convert to fraction form
    8,640.24/12,957.12 = 4,020/x
  3. Step 3: Cross multiply
    8,640.24x = 12,957.12 × 4,020
  4. Step 4: Simplify right side
    8,640.24x = 52,087,622.40
  5. Step 5: Solve for x
    x = 52,087,622.40/8,640.24
  6. Step 6: Final answer
    x = 6,028.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.