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Finding the Fourth Proportional to 38,624, 53,301.76 and 20,960

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Solution

The fourth proportional to 38,624, 53,301.76 and 20,960 is: 28,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,624 : 53,301.76 = 20,960 : x
  2. Step 2: Convert to fraction form
    38,624/53,301.76 = 20,960/x
  3. Step 3: Cross multiply
    38,624x = 53,301.76 × 20,960
  4. Step 4: Simplify right side
    38,624x = 1,117,204,889.60
  5. Step 5: Solve for x
    x = 1,117,204,889.60/38,624
  6. Step 6: Final answer
    x = 28,925.15

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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.