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Finding the Fourth Proportional to 38,924, 53,716.40 and 21,260

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Solution

The fourth proportional to 38,924, 53,716.40 and 21,260 is: 29,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,924 : 53,716.40 = 21,260 : x
  2. Step 2: Convert to fraction form
    38,924/53,716.40 = 21,260/x
  3. Step 3: Cross multiply
    38,924x = 53,716.40 × 21,260
  4. Step 4: Simplify right side
    38,924x = 1,142,010,664
  5. Step 5: Solve for x
    x = 1,142,010,664/38,924
  6. Step 6: Final answer
    x = 29,339.50

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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.