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Finding the Fourth Proportional to 21,385, 32,090.87 and 10,292.86

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Solution

The fourth proportional to 21,385, 32,090.87 and 10,292.86 is: 15,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385 : 32,090.87 = 10,292.86 : x
  2. Step 2: Convert to fraction form
    21,385/32,090.87 = 10,292.86/x
  3. Step 3: Cross multiply
    21,385x = 32,090.87 × 10,292.86
  4. Step 4: Simplify right side
    21,385x = 330,306,832.19
  5. Step 5: Solve for x
    x = 330,306,832.19/21,385
  6. Step 6: Final answer
    x = 15,445.73

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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.