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Finding the Fourth Proportional to 28,452, 42,697.44 and 9,984

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Solution

The fourth proportional to 28,452, 42,697.44 and 9,984 is: 14,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,452 : 42,697.44 = 9,984 : x
  2. Step 2: Convert to fraction form
    28,452/42,697.44 = 9,984/x
  3. Step 3: Cross multiply
    28,452x = 42,697.44 × 9,984
  4. Step 4: Simplify right side
    28,452x = 426,291,240.96
  5. Step 5: Solve for x
    x = 426,291,240.96/28,452
  6. Step 6: Final answer
    x = 14,982.82

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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.