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Finding the Fourth Proportional to 9,115.60, 13,678.80 and 6,644.20

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Solution

The fourth proportional to 9,115.60, 13,678.80 and 6,644.20 is: 9,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.60 : 13,678.80 = 6,644.20 : x
  2. Step 2: Convert to fraction form
    9,115.60/13,678.80 = 6,644.20/x
  3. Step 3: Cross multiply
    9,115.60x = 13,678.80 × 6,644.20
  4. Step 4: Simplify right side
    9,115.60x = 90,884,682.96
  5. Step 5: Solve for x
    x = 90,884,682.96/9,115.60
  6. Step 6: Final answer
    x = 9,970.24

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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.