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Finding the Fourth Proportional to 10,007.60, 14,998.80 and 5,078.60

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Solution

The fourth proportional to 10,007.60, 14,998.80 and 5,078.60 is: 7,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.60 : 14,998.80 = 5,078.60 : x
  2. Step 2: Convert to fraction form
    10,007.60/14,998.80 = 5,078.60/x
  3. Step 3: Cross multiply
    10,007.60x = 14,998.80 × 5,078.60
  4. Step 4: Simplify right side
    10,007.60x = 76,172,905.68
  5. Step 5: Solve for x
    x = 76,172,905.68/10,007.60
  6. Step 6: Final answer
    x = 7,611.51

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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.