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Finding the Fourth Proportional to 10,009.86, 15,015.10 and 3,435.96

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Solution

The fourth proportional to 10,009.86, 15,015.10 and 3,435.96 is: 5,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.86 : 15,015.10 = 3,435.96 : x
  2. Step 2: Convert to fraction form
    10,009.86/15,015.10 = 3,435.96/x
  3. Step 3: Cross multiply
    10,009.86x = 15,015.10 × 3,435.96
  4. Step 4: Simplify right side
    10,009.86x = 51,591,283.00
  5. Step 5: Solve for x
    x = 51,591,283.00/10,009.86
  6. Step 6: Final answer
    x = 5,154.05

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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.