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Finding the Fourth Proportional to 10,004.54, 15,007.54 and 3,430.67

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Solution

The fourth proportional to 10,004.54, 15,007.54 and 3,430.67 is: 5,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.54 : 15,007.54 = 3,430.67 : x
  2. Step 2: Convert to fraction form
    10,004.54/15,007.54 = 3,430.67/x
  3. Step 3: Cross multiply
    10,004.54x = 15,007.54 × 3,430.67
  4. Step 4: Simplify right side
    10,004.54x = 51,485,917.25
  5. Step 5: Solve for x
    x = 51,485,917.25/10,004.54
  6. Step 6: Final answer
    x = 5,146.26

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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.