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Finding the Fourth Proportional to 21,543.14, 32,290.74 and 9,059.42

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Solution

The fourth proportional to 21,543.14, 32,290.74 and 9,059.42 is: 13,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.14 : 32,290.74 = 9,059.42 : x
  2. Step 2: Convert to fraction form
    21,543.14/32,290.74 = 9,059.42/x
  3. Step 3: Cross multiply
    21,543.14x = 32,290.74 × 9,059.42
  4. Step 4: Simplify right side
    21,543.14x = 292,535,375.77
  5. Step 5: Solve for x
    x = 292,535,375.77/21,543.14
  6. Step 6: Final answer
    x = 13,579.05

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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.