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Finding the Fourth Proportional to 21,004.70, 31,507.64 and 7,854.54

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Solution

The fourth proportional to 21,004.70, 31,507.64 and 7,854.54 is: 11,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.70 : 31,507.64 = 7,854.54 : x
  2. Step 2: Convert to fraction form
    21,004.70/31,507.64 = 7,854.54/x
  3. Step 3: Cross multiply
    21,004.70x = 31,507.64 × 7,854.54
  4. Step 4: Simplify right side
    21,004.70x = 247,478,018.69
  5. Step 5: Solve for x
    x = 247,478,018.69/21,004.70
  6. Step 6: Final answer
    x = 11,782.03

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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.