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Finding the Fourth Proportional to 8,782.24, 12,126 and 5,640.16

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Solution

The fourth proportional to 8,782.24, 12,126 and 5,640.16 is: 7,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.24 : 12,126 = 5,640.16 : x
  2. Step 2: Convert to fraction form
    8,782.24/12,126 = 5,640.16/x
  3. Step 3: Cross multiply
    8,782.24x = 12,126 × 5,640.16
  4. Step 4: Simplify right side
    8,782.24x = 68,392,580.16
  5. Step 5: Solve for x
    x = 68,392,580.16/8,782.24
  6. Step 6: Final answer
    x = 7,787.60

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1.5x scale

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.