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Finding the Fourth Proportional to 38,880.42, 53,660.15 and 21,888

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Solution

The fourth proportional to 38,880.42, 53,660.15 and 21,888 is: 30,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,880.42 : 53,660.15 = 21,888 : x
  2. Step 2: Convert to fraction form
    38,880.42/53,660.15 = 21,888/x
  3. Step 3: Cross multiply
    38,880.42x = 53,660.15 × 21,888
  4. Step 4: Simplify right side
    38,880.42x = 1,174,513,253.76
  5. Step 5: Solve for x
    x = 1,174,513,253.76/38,880.42
  6. Step 6: Final answer
    x = 30,208.35

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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.