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Finding the Fourth Proportional to 32,611.80, 48,921.30 and 10,421.40

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Solution

The fourth proportional to 32,611.80, 48,921.30 and 10,421.40 is: 15,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,611.80 : 48,921.30 = 10,421.40 : x
  2. Step 2: Convert to fraction form
    32,611.80/48,921.30 = 10,421.40/x
  3. Step 3: Cross multiply
    32,611.80x = 48,921.30 × 10,421.40
  4. Step 4: Simplify right side
    32,611.80x = 509,828,435.82
  5. Step 5: Solve for x
    x = 509,828,435.82/32,611.80
  6. Step 6: Final answer
    x = 15,633.25

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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.