Home / 21,232-31,854.72-9,546.24

Finding the Fourth Proportional to 21,232, 31,854.72 and 9,546.24

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Solution

The fourth proportional to 21,232, 31,854.72 and 9,546.24 is: 14,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232 : 31,854.72 = 9,546.24 : x
  2. Step 2: Convert to fraction form
    21,232/31,854.72 = 9,546.24/x
  3. Step 3: Cross multiply
    21,232x = 31,854.72 × 9,546.24
  4. Step 4: Simplify right side
    21,232x = 304,092,802.25
  5. Step 5: Solve for x
    x = 304,092,802.25/21,232
  6. Step 6: Final answer
    x = 14,322.38

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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.