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Finding the Fourth Proportional to 11,758.64, 17,634.88 and 4,642.40

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Solution

The fourth proportional to 11,758.64, 17,634.88 and 4,642.40 is: 6,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.64 : 17,634.88 = 4,642.40 : x
  2. Step 2: Convert to fraction form
    11,758.64/17,634.88 = 4,642.40/x
  3. Step 3: Cross multiply
    11,758.64x = 17,634.88 × 4,642.40
  4. Step 4: Simplify right side
    11,758.64x = 81,868,166.91
  5. Step 5: Solve for x
    x = 81,868,166.91/11,758.64
  6. Step 6: Final answer
    x = 6,962.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.