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Finding the Fourth Proportional to 30,392.98, 41,909.25 and 19,762.90

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Solution

The fourth proportional to 30,392.98, 41,909.25 and 19,762.90 is: 27,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,392.98 : 41,909.25 = 19,762.90 : x
  2. Step 2: Convert to fraction form
    30,392.98/41,909.25 = 19,762.90/x
  3. Step 3: Cross multiply
    30,392.98x = 41,909.25 × 19,762.90
  4. Step 4: Simplify right side
    30,392.98x = 828,248,316.83
  5. Step 5: Solve for x
    x = 828,248,316.83/30,392.98
  6. Step 6: Final answer
    x = 27,251.30

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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.