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Finding the Fourth Proportional to 10,665.36, 15,999.93 and 5,128.74

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Solution

The fourth proportional to 10,665.36, 15,999.93 and 5,128.74 is: 7,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.36 : 15,999.93 = 5,128.74 : x
  2. Step 2: Convert to fraction form
    10,665.36/15,999.93 = 5,128.74/x
  3. Step 3: Cross multiply
    10,665.36x = 15,999.93 × 5,128.74
  4. Step 4: Simplify right side
    10,665.36x = 82,059,480.99
  5. Step 5: Solve for x
    x = 82,059,480.99/10,665.36
  6. Step 6: Final answer
    x = 7,694.02

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1.5x scale

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.