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Finding the Fourth Proportional to 30,592.49, 45,888.19 and 8,405.78

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Solution

The fourth proportional to 30,592.49, 45,888.19 and 8,405.78 is: 12,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,592.49 : 45,888.19 = 8,405.78 : x
  2. Step 2: Convert to fraction form
    30,592.49/45,888.19 = 8,405.78/x
  3. Step 3: Cross multiply
    30,592.49x = 45,888.19 × 8,405.78
  4. Step 4: Simplify right side
    30,592.49x = 385,726,029.74
  5. Step 5: Solve for x
    x = 385,726,029.74/30,592.49
  6. Step 6: Final answer
    x = 12,608.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.