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Finding the Fourth Proportional to 21,431.76, 32,147.64 and 5,849.40

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Solution

The fourth proportional to 21,431.76, 32,147.64 and 5,849.40 is: 8,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.76 : 32,147.64 = 5,849.40 : x
  2. Step 2: Convert to fraction form
    21,431.76/32,147.64 = 5,849.40/x
  3. Step 3: Cross multiply
    21,431.76x = 32,147.64 × 5,849.40
  4. Step 4: Simplify right side
    21,431.76x = 188,044,405.42
  5. Step 5: Solve for x
    x = 188,044,405.42/21,431.76
  6. Step 6: Final answer
    x = 8,774.10

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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.