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Finding the Fourth Proportional to 28,035, 42,052.50 and 11,404.08

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Solution

The fourth proportional to 28,035, 42,052.50 and 11,404.08 is: 17,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,035 : 42,052.50 = 11,404.08 : x
  2. Step 2: Convert to fraction form
    28,035/42,052.50 = 11,404.08/x
  3. Step 3: Cross multiply
    28,035x = 42,052.50 × 11,404.08
  4. Step 4: Simplify right side
    28,035x = 479,570,074.20
  5. Step 5: Solve for x
    x = 479,570,074.20/28,035
  6. Step 6: Final answer
    x = 17,106.12

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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.