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Finding the Fourth Proportional to 20,577.40, 30,824.98 and 9,468.86

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Solution

The fourth proportional to 20,577.40, 30,824.98 and 9,468.86 is: 14,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.40 : 30,824.98 = 9,468.86 : x
  2. Step 2: Convert to fraction form
    20,577.40/30,824.98 = 9,468.86/x
  3. Step 3: Cross multiply
    20,577.40x = 30,824.98 × 9,468.86
  4. Step 4: Simplify right side
    20,577.40x = 291,877,242.33
  5. Step 5: Solve for x
    x = 291,877,242.33/20,577.40
  6. Step 6: Final answer
    x = 14,184.36

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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.