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Finding the Fourth Proportional to 10,128, 15,197.44 and 4,283.84

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Solution

The fourth proportional to 10,128, 15,197.44 and 4,283.84 is: 6,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128 : 15,197.44 = 4,283.84 : x
  2. Step 2: Convert to fraction form
    10,128/15,197.44 = 4,283.84/x
  3. Step 3: Cross multiply
    10,128x = 15,197.44 × 4,283.84
  4. Step 4: Simplify right side
    10,128x = 65,103,401.37
  5. Step 5: Solve for x
    x = 65,103,401.37/10,128
  6. Step 6: Final answer
    x = 6,428.06

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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.