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Finding the Fourth Proportional to 7,878.39, 10,874.96 and 7,037.63

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Solution

The fourth proportional to 7,878.39, 10,874.96 and 7,037.63 is: 9,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.39 : 10,874.96 = 7,037.63 : x
  2. Step 2: Convert to fraction form
    7,878.39/10,874.96 = 7,037.63/x
  3. Step 3: Cross multiply
    7,878.39x = 10,874.96 × 7,037.63
  4. Step 4: Simplify right side
    7,878.39x = 76,533,922.35
  5. Step 5: Solve for x
    x = 76,533,922.35/7,878.39
  6. Step 6: Final answer
    x = 9,714.42

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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.