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Finding the Fourth Proportional to 38,646, 53,332.56 and 21,880.08

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Solution

The fourth proportional to 38,646, 53,332.56 and 21,880.08 is: 30,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646 : 53,332.56 = 21,880.08 : x
  2. Step 2: Convert to fraction form
    38,646/53,332.56 = 21,880.08/x
  3. Step 3: Cross multiply
    38,646x = 53,332.56 × 21,880.08
  4. Step 4: Simplify right side
    38,646x = 1,166,920,679.40
  5. Step 5: Solve for x
    x = 1,166,920,679.40/38,646
  6. Step 6: Final answer
    x = 30,195.12

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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.