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Finding the Fourth Proportional to 30,645, 42,262.02 and 19,878.66

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Solution

The fourth proportional to 30,645, 42,262.02 and 19,878.66 is: 27,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645 : 42,262.02 = 19,878.66 : x
  2. Step 2: Convert to fraction form
    30,645/42,262.02 = 19,878.66/x
  3. Step 3: Cross multiply
    30,645x = 42,262.02 × 19,878.66
  4. Step 4: Simplify right side
    30,645x = 840,112,326.49
  5. Step 5: Solve for x
    x = 840,112,326.49/30,645
  6. Step 6: Final answer
    x = 27,414.34

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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.