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Finding the Fourth Proportional to 8,440.64, 11,648.06 and 4,714.64

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Solution

The fourth proportional to 8,440.64, 11,648.06 and 4,714.64 is: 6,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.64 : 11,648.06 = 4,714.64 : x
  2. Step 2: Convert to fraction form
    8,440.64/11,648.06 = 4,714.64/x
  3. Step 3: Cross multiply
    8,440.64x = 11,648.06 × 4,714.64
  4. Step 4: Simplify right side
    8,440.64x = 54,916,409.60
  5. Step 5: Solve for x
    x = 54,916,409.60/8,440.64
  6. Step 6: Final answer
    x = 6,506.19

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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.