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Finding the Fourth Proportional to 8,383.84, 11,563 and 7,440.32

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Solution

The fourth proportional to 8,383.84, 11,563 and 7,440.32 is: 10,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.84 : 11,563 = 7,440.32 : x
  2. Step 2: Convert to fraction form
    8,383.84/11,563 = 7,440.32/x
  3. Step 3: Cross multiply
    8,383.84x = 11,563 × 7,440.32
  4. Step 4: Simplify right side
    8,383.84x = 86,032,420.16
  5. Step 5: Solve for x
    x = 86,032,420.16/8,383.84
  6. Step 6: Final answer
    x = 10,261.70

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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.