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Finding the Fourth Proportional to 11,019, 16,528.50 and 10,465.32

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Solution

The fourth proportional to 11,019, 16,528.50 and 10,465.32 is: 15,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019 : 16,528.50 = 10,465.32 : x
  2. Step 2: Convert to fraction form
    11,019/16,528.50 = 10,465.32/x
  3. Step 3: Cross multiply
    11,019x = 16,528.50 × 10,465.32
  4. Step 4: Simplify right side
    11,019x = 172,976,041.62
  5. Step 5: Solve for x
    x = 172,976,041.62/11,019
  6. Step 6: Final answer
    x = 15,697.98

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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.