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Finding the Fourth Proportional to 30,897.70, 42,654.63 and 19,578.94

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Solution

The fourth proportional to 30,897.70, 42,654.63 and 19,578.94 is: 27,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.70 : 42,654.63 = 19,578.94 : x
  2. Step 2: Convert to fraction form
    30,897.70/42,654.63 = 19,578.94/x
  3. Step 3: Cross multiply
    30,897.70x = 42,654.63 × 19,578.94
  4. Step 4: Simplify right side
    30,897.70x = 835,132,441.49
  5. Step 5: Solve for x
    x = 835,132,441.49/30,897.70
  6. Step 6: Final answer
    x = 27,028.95

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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.