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Finding the Fourth Proportional to 8,256.55, 11,392.98 and 4,720

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Solution

The fourth proportional to 8,256.55, 11,392.98 and 4,720 is: 6,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.55 : 11,392.98 = 4,720 : x
  2. Step 2: Convert to fraction form
    8,256.55/11,392.98 = 4,720/x
  3. Step 3: Cross multiply
    8,256.55x = 11,392.98 × 4,720
  4. Step 4: Simplify right side
    8,256.55x = 53,774,865.60
  5. Step 5: Solve for x
    x = 53,774,865.60/8,256.55
  6. Step 6: Final answer
    x = 6,512.99

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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.