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Finding the Fourth Proportional to 38,657.76, 53,348.40 and 21,894.24

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Solution

The fourth proportional to 38,657.76, 53,348.40 and 21,894.24 is: 30,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.76 : 53,348.40 = 21,894.24 : x
  2. Step 2: Convert to fraction form
    38,657.76/53,348.40 = 21,894.24/x
  3. Step 3: Cross multiply
    38,657.76x = 53,348.40 × 21,894.24
  4. Step 4: Simplify right side
    38,657.76x = 1,168,022,673.22
  5. Step 5: Solve for x
    x = 1,168,022,673.22/38,657.76
  6. Step 6: Final answer
    x = 30,214.44

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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.