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Finding the Fourth Proportional to 21,046.51, 31,571.13 and 7,899.22

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Solution

The fourth proportional to 21,046.51, 31,571.13 and 7,899.22 is: 11,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.51 : 31,571.13 = 7,899.22 : x
  2. Step 2: Convert to fraction form
    21,046.51/31,571.13 = 7,899.22/x
  3. Step 3: Cross multiply
    21,046.51x = 31,571.13 × 7,899.22
  4. Step 4: Simplify right side
    21,046.51x = 249,387,301.52
  5. Step 5: Solve for x
    x = 249,387,301.52/21,046.51
  6. Step 6: Final answer
    x = 11,849.34

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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.