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Finding the Fourth Proportional to 15,920.51, 21,972.21 and 9,208.31

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Solution

The fourth proportional to 15,920.51, 21,972.21 and 9,208.31 is: 12,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.51 : 21,972.21 = 9,208.31 : x
  2. Step 2: Convert to fraction form
    15,920.51/21,972.21 = 9,208.31/x
  3. Step 3: Cross multiply
    15,920.51x = 21,972.21 × 9,208.31
  4. Step 4: Simplify right side
    15,920.51x = 202,326,921.07
  5. Step 5: Solve for x
    x = 202,326,921.07/15,920.51
  6. Step 6: Final answer
    x = 12,708.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.