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Finding the Fourth Proportional to 9,714.60, 13,400.10 and 6,355.80

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Solution

The fourth proportional to 9,714.60, 13,400.10 and 6,355.80 is: 8,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.60 : 13,400.10 = 6,355.80 : x
  2. Step 2: Convert to fraction form
    9,714.60/13,400.10 = 6,355.80/x
  3. Step 3: Cross multiply
    9,714.60x = 13,400.10 × 6,355.80
  4. Step 4: Simplify right side
    9,714.60x = 85,168,355.58
  5. Step 5: Solve for x
    x = 85,168,355.58/9,714.60
  6. Step 6: Final answer
    x = 8,767.05

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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.