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Finding the Fourth Proportional to 10,428, 15,627.04 and 7,828

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Solution

The fourth proportional to 10,428, 15,627.04 and 7,828 is: 11,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428 : 15,627.04 = 7,828 : x
  2. Step 2: Convert to fraction form
    10,428/15,627.04 = 7,828/x
  3. Step 3: Cross multiply
    10,428x = 15,627.04 × 7,828
  4. Step 4: Simplify right side
    10,428x = 122,328,469.12
  5. Step 5: Solve for x
    x = 122,328,469.12/10,428
  6. Step 6: Final answer
    x = 11,730.77

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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.