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Finding the Fourth Proportional to 21,004.76, 31,507.74 and 7,854.62

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Solution

The fourth proportional to 21,004.76, 31,507.74 and 7,854.62 is: 11,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.76 : 31,507.74 = 7,854.62 : x
  2. Step 2: Convert to fraction form
    21,004.76/31,507.74 = 7,854.62/x
  3. Step 3: Cross multiply
    21,004.76x = 31,507.74 × 7,854.62
  4. Step 4: Simplify right side
    21,004.76x = 247,481,167.22
  5. Step 5: Solve for x
    x = 247,481,167.22/21,004.76
  6. Step 6: Final answer
    x = 11,782.15

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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.