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Finding the Fourth Proportional to 34,611.68, 47,764.62 and 20,465.84

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Solution

The fourth proportional to 34,611.68, 47,764.62 and 20,465.84 is: 28,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,611.68 : 47,764.62 = 20,465.84 : x
  2. Step 2: Convert to fraction form
    34,611.68/47,764.62 = 20,465.84/x
  3. Step 3: Cross multiply
    34,611.68x = 47,764.62 × 20,465.84
  4. Step 4: Simplify right side
    34,611.68x = 977,543,070.58
  5. Step 5: Solve for x
    x = 977,543,070.58/34,611.68
  6. Step 6: Final answer
    x = 28,243.16

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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.