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Finding the Fourth Proportional to 30,486.49, 42,063.10 and 20,929.30

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Solution

The fourth proportional to 30,486.49, 42,063.10 and 20,929.30 is: 28,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486.49 : 42,063.10 = 20,929.30 : x
  2. Step 2: Convert to fraction form
    30,486.49/42,063.10 = 20,929.30/x
  3. Step 3: Cross multiply
    30,486.49x = 42,063.10 × 20,929.30
  4. Step 4: Simplify right side
    30,486.49x = 880,351,238.83
  5. Step 5: Solve for x
    x = 880,351,238.83/30,486.49
  6. Step 6: Final answer
    x = 28,876.77

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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.