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Finding the Fourth Proportional to 7,641.57, 11,461.80 and 2,376.44

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Solution

The fourth proportional to 7,641.57, 11,461.80 and 2,376.44 is: 3,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.57 : 11,461.80 = 2,376.44 : x
  2. Step 2: Convert to fraction form
    7,641.57/11,461.80 = 2,376.44/x
  3. Step 3: Cross multiply
    7,641.57x = 11,461.80 × 2,376.44
  4. Step 4: Simplify right side
    7,641.57x = 27,238,274.58
  5. Step 5: Solve for x
    x = 27,238,274.58/7,641.57
  6. Step 6: Final answer
    x = 3,564.48

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1.5x scale

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.