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Finding the Fourth Proportional to 7,714.56, 11,511.28 and 7,244.40

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Solution

The fourth proportional to 7,714.56, 11,511.28 and 7,244.40 is: 10,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.56 : 11,511.28 = 7,244.40 : x
  2. Step 2: Convert to fraction form
    7,714.56/11,511.28 = 7,244.40/x
  3. Step 3: Cross multiply
    7,714.56x = 11,511.28 × 7,244.40
  4. Step 4: Simplify right side
    7,714.56x = 83,392,316.83
  5. Step 5: Solve for x
    x = 83,392,316.83/7,714.56
  6. Step 6: Final answer
    x = 10,809.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.