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Finding the Fourth Proportional to 8,242.30, 11,376.24 and 6,446.24

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Solution

The fourth proportional to 8,242.30, 11,376.24 and 6,446.24 is: 8,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.30 : 11,376.24 = 6,446.24 : x
  2. Step 2: Convert to fraction form
    8,242.30/11,376.24 = 6,446.24/x
  3. Step 3: Cross multiply
    8,242.30x = 11,376.24 × 6,446.24
  4. Step 4: Simplify right side
    8,242.30x = 73,333,973.34
  5. Step 5: Solve for x
    x = 73,333,973.34/8,242.30
  6. Step 6: Final answer
    x = 8,897.27

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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.