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Finding the Fourth Proportional to 20,833.44, 28,750.88 and 11,402

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Solution

The fourth proportional to 20,833.44, 28,750.88 and 11,402 is: 15,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.44 : 28,750.88 = 11,402 : x
  2. Step 2: Convert to fraction form
    20,833.44/28,750.88 = 11,402/x
  3. Step 3: Cross multiply
    20,833.44x = 28,750.88 × 11,402
  4. Step 4: Simplify right side
    20,833.44x = 327,817,533.76
  5. Step 5: Solve for x
    x = 327,817,533.76/20,833.44
  6. Step 6: Final answer
    x = 15,735.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.