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Finding the Fourth Proportional to 7,842.56, 11,746.56 and 4,758.08

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Solution

The fourth proportional to 7,842.56, 11,746.56 and 4,758.08 is: 7,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.56 : 11,746.56 = 4,758.08 : x
  2. Step 2: Convert to fraction form
    7,842.56/11,746.56 = 4,758.08/x
  3. Step 3: Cross multiply
    7,842.56x = 11,746.56 × 4,758.08
  4. Step 4: Simplify right side
    7,842.56x = 55,891,072.20
  5. Step 5: Solve for x
    x = 55,891,072.20/7,842.56
  6. Step 6: Final answer
    x = 7,126.64

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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.