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Finding the Fourth Proportional to 30,660.40, 42,307.68 and 17,230

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Solution

The fourth proportional to 30,660.40, 42,307.68 and 17,230 is: 23,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,660.40 : 42,307.68 = 17,230 : x
  2. Step 2: Convert to fraction form
    30,660.40/42,307.68 = 17,230/x
  3. Step 3: Cross multiply
    30,660.40x = 42,307.68 × 17,230
  4. Step 4: Simplify right side
    30,660.40x = 728,961,326.40
  5. Step 5: Solve for x
    x = 728,961,326.40/30,660.40
  6. Step 6: Final answer
    x = 23,775.34

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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.